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74786816 = 21113532
BaseRepresentation
bin1000111010100…
…10100000000000
312012201120020002
410131102200000
5123121134231
611230535132
71565451236
oct435224000
9165646202
1074786816
1139240495
12210674a8
1312656570
149d0a956
1568740cb
hex4752800

74786816 has 72 divisors (see below), whose sum is σ = 164135790. Its totient is φ = 33865728.

The previous prime is 74786801. The next prime is 74786839. The reversal of 74786816 is 61868747.

It can be written as a sum of positive squares in 3 ways, for example, as 65545216 + 9241600 = 8096^2 + 3040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1411046 + ... + 1411098.

Almost surely, 274786816 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 74786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82067895).

74786816 is an abundant number, since it is smaller than the sum of its proper divisors (89348974).

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

74786816 is an equidigital number, since it uses as much as digits as its factorization.

74786816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 68 counting only the distinct ones).

The product of its digits is 451584, while the sum is 47.

The square root of 74786816 is about 8647.9370950534. The cubic root of 74786816 is about 421.3163838007.

The spelling of 74786816 in words is "seventy-four million, seven hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 512 689 832 848 1024 1378 1664 1696 2048 2756 2809 3328 3392 5512 5618 6656 6784 11024 11236 13312 13568 22048 22472 26624 27136 36517 44096 44944 54272 73034 88192 89888 108544 146068 176384 179776 292136 352768 359552 584272 705536 719104 1168544 1411072 1438208 2337088 2876416 4674176 5752832 9348352 18696704 37393408 74786816