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538916628 = 2232941107353
BaseRepresentation
bin100000000111110…
…011011100010100
31101120001210122010
4200013303130110
52100430313003
6125250504220
716232500335
oct4007633424
91346053563
10538916628
11257228048
12130595070
138785c7a3
145180628c
15324a4003
hex201f3714

538916628 has 96 divisors (see below), whose sum is σ = 1348824960. Its totient is φ = 167157760.

The previous prime is 538916557. The next prime is 538916629. The reversal of 538916628 is 826619835.

It is a happy number.

It is a super-2 number, since 2×5389166282 = 580862263869780768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538916629) by changing a digit.

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, 1526500 + ... + 1526852.

It is an arithmetic number, because the mean of its divisors is an integer number (14050260).

Almost surely, 2538916628 is an apocalyptic number.

538916628 is a gapful number since it is divisible by the number (58) 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 538916628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674412480).

538916628 is an abundant number, since it is smaller than the sum of its proper divisors (809908332).

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

538916628 is a wasteful number, since it uses less digits than its factorization.

538916628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 535 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 538916628 is about 23214.5779199192. The cubic root of 538916628 is about 813.7803418598.

The spelling of 538916628 in words is "five hundred thirty-eight million, nine hundred sixteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 107 116 123 164 174 214 246 321 348 353 428 492 642 706 1059 1189 1284 1412 2118 2378 3103 3567 4236 4387 4756 6206 7134 8774 9309 10237 12412 13161 14268 14473 17548 18618 20474 26322 28946 30711 37236 37771 40948 43419 52644 57892 61422 75542 86838 113313 122844 127223 151084 173676 226626 254446 381669 419717 453252 508892 763338 839434 1095359 1259151 1526676 1548611 1678868 2190718 2518302 3097222 3286077 4381436 4645833 5036604 6194444 6572154 9291666 13144308 18583332 44909719 89819438 134729157 179638876 269458314 538916628