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74086496 = 2511239151
BaseRepresentation
bin1000110101001…
…11100001100000
312011101222120022
410122213201200
5122431231441
611203533012
71556503421
oct432474140
9164358508
1074086496
1138902310
122098a168
131246c883
149ba7648
15678684b
hex46a7860

74086496 has 48 divisors (see below), whose sum is σ = 166053888. Its totient is φ = 32208000.

The previous prime is 74086487. The next prime is 74086511. The reversal of 74086496 is 69468047.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 3521 + ... + 12671.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 274086496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74086496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83026944).

74086496 is an abundant number, since it is smaller than the sum of its proper divisors (91967392).

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

74086496 is a wasteful number, since it uses less digits than its factorization.

74086496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9195 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 74086496 is about 8607.3512766704. The cubic root of 74086496 is about 419.9971579551.

The spelling of 74086496 in words is "seventy-four million, eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 9151 18302 36604 73208 100661 146416 201322 210473 292832 402644 420946 805288 841892 1610576 1683784 2315203 3221152 3367568 4630406 6735136 9260812 18521624 37043248 74086496