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74290464 = 2532257953
BaseRepresentation
bin1000110110110…
…01010100100000
312011210100100200
410123121110200
5123004243324
611212145200
71561313163
oct433312440
9164710320
1074290464
1138a31586
1220a68200
1312511671
149c1bada
1567c6ec9
hex46d9520

74290464 has 36 divisors (see below), whose sum is σ = 211264326. Its totient is φ = 24763392.

The previous prime is 74290453. The next prime is 74290507. The reversal of 74290464 is 46409247.

It can be written as a sum of positive squares in only one way, i.e., 72386064 + 1904400 = 8508^2 + 1380^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 128689 + ... + 129264.

Almost surely, 274290464 is an apocalyptic number.

It is an amenable number.

74290464 is an abundant number, since it is smaller than the sum of its proper divisors (136973862).

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

74290464 is a wasteful number, since it uses less digits than its factorization.

74290464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257969 (or 257958 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 74290464 is about 8619.1916094260. The cubic root of 74290464 is about 420.3822370590.

The spelling of 74290464 in words is "seventy-four million, two hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 257953 515906 773859 1031812 1547718 2063624 2321577 3095436 4127248 4643154 6190872 8254496 9286308 12381744 18572616 24763488 37145232 74290464