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74986496 = 2101343131
BaseRepresentation
bin1000111100000…
…11010000000000
312020002201010122
410132003100000
5123144031441
611235115412
71600242344
oct436032000
9166081118
1074986496
1139367512
1221142b68
13126c6410
149d5d624
1568b334b
hex4783400

74986496 has 88 divisors (see below), whose sum is σ = 166445664. Its totient is φ = 33546240.

The previous prime is 74986487. The next prime is 74986517. The reversal of 74986496 is 69468947.

It is a happy number.

Its product of digits (2612736) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572351 + ... + 572481.

It is an arithmetic number, because the mean of its divisors is an integer number (1891428).

Almost surely, 274986496 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 74986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83222832).

74986496 is an abundant number, since it is smaller than the sum of its proper divisors (91459168).

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

74986496 is a wasteful number, since it uses less digits than its factorization.

74986496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 53.

The square root of 74986496 is about 8659.4743489429. The cubic root of 74986496 is about 421.6910206545.

The spelling of 74986496 in words is "seventy-four million, nine hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 131 172 208 256 262 344 416 512 524 559 688 832 1024 1048 1118 1376 1664 1703 2096 2236 2752 3328 3406 4192 4472 5504 5633 6656 6812 8384 8944 11008 11266 13312 13624 16768 17888 22016 22532 27248 33536 35776 44032 45064 54496 67072 71552 73229 90128 108992 134144 143104 146458 180256 217984 286208 292916 360512 435968 572416 585832 721024 871936 1171664 1442048 1743872 2343328 2884096 4686656 5768192 9373312 18746624 37493248 74986496