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74913408 = 273265029
BaseRepresentation
bin1000111011100…
…01011010000000
312012221222212200
410131301122000
5123134212113
611233353200
71566516303
oct435613200
9165858780
1074913408
1139317609
1221108800
131269c07b
149d40b3a
15689b873
hex4771680

74913408 has 48 divisors (see below), whose sum is σ = 215574450. Its totient is φ = 24970752.

The previous prime is 74913401. The next prime is 74913413. The reversal of 74913408 is 80431947.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 38044224 + 36869184 = 6168^2 + 6072^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×749134082 = 11224037396348928, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (74913401) by changing a digit.

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, 31363 + ... + 33666.

Almost surely, 274913408 is an apocalyptic number.

It is an amenable number.

74913408 is an abundant number, since it is smaller than the sum of its proper divisors (140661042).

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

74913408 is a wasteful number, since it uses less digits than its factorization.

74913408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65049 (or 65034 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 74913408 is about 8655.2532025354. The cubic root of 74913408 is about 421.5539712132.

The spelling of 74913408 in words is "seventy-four million, nine hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 65029 130058 195087 260116 390174 520232 585261 780348 1040464 1170522 1560696 2080928 2341044 3121392 4161856 4682088 6242784 8323712 9364176 12485568 18728352 24971136 37456704 74913408