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74085696 = 2632128621
BaseRepresentation
bin1000110101001…
…11010101000000
312011101221110200
410122213111000
5122431220241
611203525200
71556501166
oct432472500
9164357420
1074085696
1138901753
1220989800
131246c3b9
149ba7236
1567864b6
hex46a7540

74085696 has 42 divisors (see below), whose sum is σ = 212354922. Its totient is φ = 24695040.

The previous prime is 74085667. The next prime is 74085701. The reversal of 74085696 is 69658047.

It can be written as a sum of positive squares in only one way, i.e., 48441600 + 25644096 = 6960^2 + 5064^2 .

It is a congruent number.

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, 63735 + ... + 64886.

Almost surely, 274085696 is an apocalyptic number.

It is an amenable number.

74085696 is an abundant number, since it is smaller than the sum of its proper divisors (138269226).

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

74085696 is a wasteful number, since it uses less digits than its factorization.

74085696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128639 (or 128626 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 74085696 is about 8607.3048046412. The cubic root of 74085696 is about 419.9956462134.

It can be divided in two parts, 740 and 85696, that added together give a square (86436 = 2942).

The spelling of 74085696 in words is "seventy-four million, eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 128621 257242 385863 514484 771726 1028968 1157589 1543452 2057936 2315178 3086904 4115872 4630356 6173808 8231744 9260712 12347616 18521424 24695232 37042848 74085696