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74045088 = 25321319777
BaseRepresentation
bin1000110100111…
…01011010100000
312011022212202200
410122131122200
5122423420323
611203013200
71556241615
oct432353240
9164285680
1074045088
1138884197
122096a200
1312456a80
149b9650c
156779443
hex469d6a0

74045088 has 72 divisors (see below), whose sum is σ = 226774548. Its totient is φ = 22781952.

The previous prime is 74045087. The next prime is 74045093. The reversal of 74045088 is 88054047.

It can be written as a sum of positive squares in 2 ways, for example, as 70761744 + 3283344 = 8412^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (74045087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6145 + ... + 13632.

Almost surely, 274045088 is an apocalyptic number.

74045088 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

74045088 is an abundant number, since it is smaller than the sum of its proper divisors (152729460).

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

74045088 is a wasteful number, since it uses less digits than its factorization.

74045088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19806 (or 19795 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 74045088 is about 8604.9455547377. The cubic root of 74045088 is about 419.9188959040.

The spelling of 74045088 in words is "seventy-four million, forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 19777 39554 59331 79108 118662 158216 177993 237324 257101 316432 355986 474648 514202 632864 711972 771303 949296 1028404 1423944 1542606 1898592 2056808 2313909 2847888 3085212 4113616 4627818 5695776 6170424 8227232 9255636 12340848 18511272 24681696 37022544 74045088