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74557028 = 227213291009
BaseRepresentation
bin1000111000110…
…10011001100100
312012021220000102
410130122121210
5123041311103
611222003232
71563503300
oct434323144
9165256012
1074557028
11390a3887
1220b76518
13125a5ab0
149c8ad00
15682ae88
hex471a664

74557028 has 72 divisors (see below), whose sum is σ = 169255800. Its totient is φ = 28449792.

The previous prime is 74557009. The next prime is 74557031. The reversal of 74557028 is 82075547.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 73650724 = 952^2 + 8582^2 .

It is a super-3 number, since 3×745570283 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74556982 and 74557000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73388 + ... + 74396.

It is an arithmetic number, because the mean of its divisors is an integer number (2350775).

Almost surely, 274557028 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 74557028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84627900).

74557028 is an abundant number, since it is smaller than the sum of its proper divisors (94698772).

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

74557028 is a wasteful number, since it uses less digits than its factorization.

74557028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 74557028 is about 8634.6411622024. The cubic root of 74557028 is about 420.8844325582.

The spelling of 74557028 in words is "seventy-four million, five hundred fifty-seven thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 182 196 203 364 377 406 637 754 812 1009 1274 1421 1508 2018 2548 2639 2842 4036 5278 5684 7063 10556 13117 14126 18473 26234 28252 29261 36946 49441 52468 58522 73892 91819 98882 117044 183638 197764 204827 367276 380393 409654 642733 760786 819308 1285466 1433789 1521572 2570932 2662751 2867578 5325502 5735156 10651004 18639257 37278514 74557028