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2501426900 = 2252729149827
BaseRepresentation
bin1001010100011000…
…1011111011010100
320110022212122121202
42111012023323110
520110331130100
61052114132032
7115662530540
oct22506137324
96408778552
102501426900
111073a99065
12599881018
1330b30ba7b
1419a302a20
15e990d7d5
hex9518bed4

2501426900 has 144 divisors (see below), whose sum is σ = 6468336000. Its totient is φ = 821506560.

The previous prime is 2501426899. The next prime is 2501426923. The reversal of 2501426900 is 96241052.

It is a happy number.

2501426900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25014269002 = 12514273072087220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3024287 + ... + 3025113.

It is an arithmetic number, because the mean of its divisors is an integer number (44919000).

Almost surely, 22501426900 is an apocalyptic number.

2501426900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2501426900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234168000).

2501426900 is an abundant number, since it is smaller than the sum of its proper divisors (3966909100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2501426900 is a wasteful number, since it uses less digits than its factorization.

2501426900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2501426900 is about 50014.2669645372. The cubic root of 2501426900 is about 1357.4669726869.

Adding to 2501426900 its reverse (96241052), we get a palindrome (2597667952).

The spelling of 2501426900 in words is "two billion, five hundred one million, four hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 149 175 203 290 298 350 406 580 596 700 725 745 812 827 1015 1043 1450 1490 1654 2030 2086 2900 2980 3308 3725 4060 4135 4172 4321 5075 5215 5789 7450 8270 8642 10150 10430 11578 14900 16540 17284 20300 20675 20860 21605 23156 23983 26075 28945 30247 41350 43210 47966 52150 57890 60494 82700 86420 95932 104300 108025 115780 119915 120988 123223 144725 151235 167881 216050 239830 246446 289450 302470 335762 432100 479660 492892 578900 599575 604940 616115 671524 756175 839405 862561 1199150 1232230 1512350 1678810 1725122 2398300 2464460 3024700 3080575 3357620 3450244 3573467 4197025 4312805 6161150 7146934 8394050 8625610 12322300 14293868 16788100 17251220 17867335 21564025 25014269 35734670 43128050 50028538 71469340 86256100 89336675 100057076 125071345 178673350 250142690 357346700 500285380 625356725 1250713450 2501426900