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2525402000 = 245311191601
BaseRepresentation
bin1001011010000110…
…1001001110010000
320111222222201021102
42112201221032100
520133000331000
61054332043532
7116403364022
oct22641511620
96458881242
102525402000
1110865839a0
125a59035a8
13313284614
1419d584012
15eba973d5
hex96869390

2525402000 has 160 divisors (see below), whose sum is σ = 6707570688. Its totient is φ = 912000000.

The previous prime is 2525401987. The next prime is 2525402017. The reversal of 2525402000 is 2045252.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4201700 + ... + 4202300.

Almost surely, 22525402000 is an apocalyptic number.

2525402000 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 2525402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353785344).

2525402000 is an abundant number, since it is smaller than the sum of its proper divisors (4182168688).

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

2525402000 is a wasteful number, since it uses less digits than its factorization.

2525402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2525402000 is about 50253.3779959119. The cubic root of 2525402000 is about 1361.7901023717.

Adding to 2525402000 its reverse (2045252), we get a palindrome (2527447252).

The spelling of 2525402000 in words is "two billion, five hundred twenty-five million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 191 200 220 250 275 382 400 440 500 550 601 764 880 955 1000 1100 1202 1375 1528 1910 2000 2101 2200 2404 2750 3005 3056 3820 4202 4400 4775 4808 5500 6010 6611 7640 8404 9550 9616 10505 11000 12020 13222 15025 15280 16808 19100 21010 22000 23875 24040 26444 30050 33055 33616 38200 42020 47750 48080 52525 52888 60100 66110 75125 76400 84040 95500 105050 105776 114791 120200 132220 150250 165275 168080 191000 210100 229582 240400 262625 264440 300500 330550 382000 420200 459164 525250 528880 573955 601000 661100 826375 840400 918328 1050500 1147910 1202000 1262701 1322200 1652750 1836656 2101000 2295820 2525402 2644400 2869775 3305500 4202000 4591640 5050804 5739550 6313505 6611000 9183280 10101608 11479100 12627010 13222000 14348875 20203216 22958200 25254020 28697750 31567525 45916400 50508040 57395500 63135050 101016080 114791000 126270100 157837625 229582000 252540200 315675250 505080400 631350500 1262701000 2525402000