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90207488 = 28771709
BaseRepresentation
bin1010110000001…
…11010100000000
320021202000102002
411120013110000
5141043114423
612541243132
72143515410
oct530072400
9207660362
1090207488
1146a13248
12262634a8
13158c5517
14bda2640
157dbd228
hex5607500

90207488 has 72 divisors (see below), whose sum is σ = 208978560. Its totient is φ = 38062080.

The previous prime is 90207479. The next prime is 90207511. The reversal of 90207488 is 88470209.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126878 + ... + 127586.

It is an arithmetic number, because the mean of its divisors is an integer number (2902480).

Almost surely, 290207488 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 90207488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104489280).

90207488 is an abundant number, since it is smaller than the sum of its proper divisors (118771072).

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

90207488 is an equidigital number, since it uses as much as digits as its factorization.

90207488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 90207488 is about 9497.7622627648. The cubic root of 90207488 is about 448.4845946800.

The spelling of 90207488 in words is "ninety million, two hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 256 284 448 497 568 709 896 994 1136 1418 1792 1988 2272 2836 3976 4544 4963 5672 7952 9088 9926 11344 15904 18176 19852 22688 31808 39704 45376 50339 63616 79408 90752 100678 127232 158816 181504 201356 317632 352373 402712 635264 704746 805424 1270528 1409492 1610848 2818984 3221696 5637968 6443392 11275936 12886784 22551872 45103744 90207488