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74404974 = 23767137193
BaseRepresentation
bin1000110111101…
…01010001101110
312012000011102210
410123311101232
5123021424344
611214431250
71562301060
oct433652156
9165004383
1074404974
1138aaa616
1220b02526
1312551817
149c4b730
1567eadb9
hex46f546e

74404974 has 64 divisors (see below), whose sum is σ = 174767616. Its totient is φ = 20680704.

The previous prime is 74404973. The next prime is 74405021. The reversal of 74404974 is 47940447.

It is a super-2 number, since 2×744049742 = 11072200311881352, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74404973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385422 + ... + 385614.

It is an arithmetic number, because the mean of its divisors is an integer number (2730744).

Almost surely, 274404974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74404974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87383808).

74404974 is an abundant number, since it is smaller than the sum of its proper divisors (100362642).

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

74404974 is a wasteful number, since it uses less digits than its factorization.

74404974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409.

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 74404974 is about 8625.8317859787. The cubic root of 74404974 is about 420.5981160810.

The spelling of 74404974 in words is "seventy-four million, four hundred four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 67 134 137 193 201 274 386 402 411 469 579 822 938 959 1158 1351 1407 1918 2702 2814 2877 4053 5754 8106 9179 12931 18358 25862 26441 27537 38793 52882 55074 64253 77586 79323 90517 128506 158646 181034 185087 192759 271551 370174 385518 543102 555261 1110522 1771547 3543094 5314641 10629282 12400829 24801658 37202487 74404974