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526414380 = 2235192915923
BaseRepresentation
bin11111011000000…
…111001000101100
31100200112121202220
4133120013020230
52034230230010
6124122515340
716021306542
oct3730071054
91320477686
10526414380
11250168a08
12128365b50
13850a2ccb
144dcadd92
1531334970
hex1f60722c

526414380 has 96 divisors (see below), whose sum is σ = 1605139200. Its totient is φ = 128395008.

The previous prime is 526414373. The next prime is 526414387. The reversal of 526414380 is 83414625.

It is an interprime number because it is at equal distance from previous prime (526414373) and next prime (526414387).

It is a super-2 number, since 2×5264143802 = 554224198941568800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (526414387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25099 + ... + 41021.

It is an arithmetic number, because the mean of its divisors is an integer number (16720200).

Almost surely, 2526414380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526414380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802569600).

526414380 is an abundant number, since it is smaller than the sum of its proper divisors (1078724820).

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

526414380 is a wasteful number, since it uses less digits than its factorization.

526414380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15983 (or 15981 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 526414380 is about 22943.7220171445. The cubic root of 526414380 is about 807.4381182470.

The spelling of 526414380 in words is "five hundred twenty-six million, four hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 29 30 38 57 58 60 76 87 95 114 116 145 174 190 228 285 290 348 380 435 551 570 580 870 1102 1140 1653 1740 2204 2755 3306 5510 6612 8265 11020 15923 16530 31846 33060 47769 63692 79615 95538 159230 191076 238845 302537 318460 461767 477690 605074 907611 923534 955380 1210148 1385301 1512685 1815222 1847068 2308835 2770602 3025370 3630444 4538055 4617670 5541204 6050740 6926505 8773573 9076110 9235340 13853010 17547146 18152220 26320719 27706020 35094292 43867865 52641438 87735730 105282876 131603595 175471460 263207190 526414380