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74290496 = 2671391193
BaseRepresentation
bin1000110110110…
…01010101000000
312011210100101212
410123121111000
5123004243441
611212145252
71561313240
oct433312500
9164710355
1074290496
1138a31605
1220a68228
1312511697
149c1bb20
1567c6eeb
hex46d9540

74290496 has 56 divisors (see below), whose sum is σ = 169834560. Its totient is φ = 31583232.

The previous prime is 74290453. The next prime is 74290507. The reversal of 74290496 is 69409247.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61676 + ... + 62868.

It is an arithmetic number, because the mean of its divisors is an integer number (3032760).

Almost surely, 274290496 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 74290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84917280).

74290496 is an abundant number, since it is smaller than the sum of its proper divisors (95544064).

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

74290496 is a wasteful number, since it uses less digits than its factorization.

74290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 74290496 is about 8619.1934657484. The cubic root of 74290496 is about 420.3822974177.

The spelling of 74290496 in words is "seventy-four million, two hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 139 224 278 448 556 973 1112 1193 1946 2224 2386 3892 4448 4772 7784 8351 8896 9544 15568 16702 19088 31136 33404 38176 62272 66808 76352 133616 165827 267232 331654 534464 663308 1160789 1326616 2321578 2653232 4643156 5306464 9286312 10612928 18572624 37145248 74290496