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75042216 = 233217371657
BaseRepresentation
bin1000111100100…
…00110110101000
312020012112120100
410132100312220
5123202322331
611240225400
71600563654
oct436206650
9166175510
1075042216
11393a5367
122116b260
13127158a2
149d75a64
1568c4ae6
hex4790da8

75042216 has 96 divisors (see below), whose sum is σ = 221144040. Its totient is φ = 22892544.

The previous prime is 75042197. The next prime is 75042239. The reversal of 75042216 is 61224057.

It can be written as a sum of positive squares in 4 ways, for example, as 74132100 + 910116 = 8610^2 + 954^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75042216.

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, 44460 + ... + 46116.

Almost surely, 275042216 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 75042216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110572020).

75042216 is an abundant number, since it is smaller than the sum of its proper divisors (146101824).

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

75042216 is a wasteful number, since it uses less digits than its factorization.

75042216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75042216 is about 8662.6910368545. The cubic root of 75042216 is about 421.7954430393.

The spelling of 75042216 in words is "seventy-five million, forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 37 51 68 72 74 102 111 136 148 153 204 222 296 306 333 408 444 612 629 666 888 1224 1258 1332 1657 1887 2516 2664 3314 3774 4971 5032 5661 6628 7548 9942 11322 13256 14913 15096 19884 22644 28169 29826 39768 45288 56338 59652 61309 84507 112676 119304 122618 169014 183927 225352 245236 253521 338028 367854 490472 507042 551781 676056 735708 1014084 1042253 1103562 1471416 2028168 2084506 2207124 3126759 4169012 4414248 6253518 8338024 9380277 12507036 18760554 25014072 37521108 75042216