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74693268 = 223213212277
BaseRepresentation
bin1000111001110…
…11101010010100
312012112210220100
410130323222110
5123110141033
611224534100
71564611426
oct434735224
9165483810
1074693268
1139187181
1221021330
1312622b00
149cc4816
156856513
hex473ba94

74693268 has 54 divisors (see below), whose sum is σ = 204465534. Its totient is φ = 22980672.

The previous prime is 74693261. The next prime is 74693309. The reversal of 74693268 is 86239647.

It can be written as a sum of positive squares in 3 ways, for example, as 4334724 + 70358544 = 2082^2 + 8388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74693261) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55 + ... + 12222.

Almost surely, 274693268 is an apocalyptic number.

74693268 is a gapful number since it is divisible by the number (78) 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 74693268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102232767).

74693268 is an abundant number, since it is smaller than the sum of its proper divisors (129772266).

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

74693268 is a wasteful number, since it uses less digits than its factorization.

74693268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12313 (or 12295 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 74693268 is about 8642.5267138725. The cubic root of 74693268 is about 421.1406409263.

The spelling of 74693268 in words is "seventy-four million, six hundred ninety-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 12277 24554 36831 49108 73662 110493 147324 159601 220986 319202 441972 478803 638404 957606 1436409 1915212 2074813 2872818 4149626 5745636 6224439 8299252 12448878 18673317 24897756 37346634 74693268