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74414464 = 272920047
BaseRepresentation
bin1000110111101…
…11100110000000
312012000122110021
410123313212000
5123022230324
611214543224
71562340535
oct433674600
9165018407
1074414464
1139006763
1220b07b14
1312555c37
149c50d8c
1567edae4
hex46f7980

74414464 has 32 divisors (see below), whose sum is σ = 153367200. Its totient is φ = 35922432.

The previous prime is 74414447. The next prime is 74414471. The reversal of 74414464 is 46441447.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6312 + ... + 13735.

It is an arithmetic number, because the mean of its divisors is an integer number (4792725).

Almost surely, 274414464 is an apocalyptic number.

It is an amenable number.

74414464 is an abundant number, since it is smaller than the sum of its proper divisors (78952736).

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

74414464 is a wasteful number, since it uses less digits than its factorization.

74414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20090 (or 20078 counting only the distinct ones).

The product of its digits is 43008, while the sum is 34.

The square root of 74414464 is about 8626.3818603166. The cubic root of 74414464 is about 420.6159970828.

The spelling of 74414464 in words is "seventy-four million, four hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 20047 40094 80188 160376 320752 581363 641504 1162726 1283008 2325452 2566016 4650904 9301808 18603616 37207232 74414464