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90416736 = 253434883
BaseRepresentation
bin1010110001110…
…10011001100000
320022010122110000
411120322121200
5141121313421
612545540000
72145346434
oct530723140
9208118400
1090416736
1147046483
1226344600
1315969837
14c0189c4
157e10226
hex563a660

90416736 has 60 divisors (see below), whose sum is σ = 265920732. Its totient is φ = 30138048.

The previous prime is 90416723. The next prime is 90416741. The reversal of 90416736 is 63761409.

It is a super-2 number, since 2×904167362 = 16350372297787392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90416736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14850 + ... + 20033.

Almost surely, 290416736 is an apocalyptic number.

90416736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90416736 is an abundant number, since it is smaller than the sum of its proper divisors (175503996).

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

90416736 is a wasteful number, since it uses less digits than its factorization.

90416736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34905 (or 34888 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 90416736 is about 9508.7715294879. The cubic root of 90416736 is about 448.8310996779.

The spelling of 90416736 in words is "ninety million, four hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 34883 69766 104649 139532 209298 279064 313947 418596 558128 627894 837192 941841 1116256 1255788 1674384 1883682 2511576 2825523 3348768 3767364 5023152 5651046 7534728 10046304 11302092 15069456 22604184 30138912 45208368 90416736