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90379632 = 2437318677
BaseRepresentation
bin1010110001100…
…01010101110000
320022001202112210
411120301111300
5141114122012
612545052120
72145133320
oct530612560
9208052483
1090379632
1147020612
1226327040
1315955995
14c009280
157e0423c
hex5631570

90379632 has 80 divisors (see below), whose sum is σ = 275474432. Its totient is φ = 24986880.

The previous prime is 90379609. The next prime is 90379643. The reversal of 90379632 is 23697309.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6078 + ... + 14754.

Almost surely, 290379632 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 90379632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137737216).

90379632 is an abundant number, since it is smaller than the sum of its proper divisors (185094800).

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

90379632 is a wasteful number, since it uses less digits than its factorization.

90379632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8726 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 90379632 is about 9506.8202886139. The cubic root of 90379632 is about 448.7696961945.

The spelling of 90379632 in words is "ninety million, three hundred seventy-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 8677 10416 17354 26031 34708 52062 60739 69416 104124 121478 138832 182217 208248 242956 268987 364434 416496 485912 537974 728868 806961 971824 1075948 1457736 1613922 1882909 2151896 2915472 3227844 3765818 4303792 5648727 6455688 7531636 11297454 12911376 15063272 22594908 30126544 45189816 90379632