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90438840 = 23325251219
BaseRepresentation
bin1010110001111…
…11110010111000
320022011202202200
411120333302320
5141123020330
612550230200
72145501042
oct530776270
9208152680
1090438840
1147061048
1226355360
131597690b
14c022a92
157e16a60
hex563fcb8

90438840 has 48 divisors (see below), whose sum is σ = 293927400. Its totient is φ = 24116928.

The previous prime is 90438839. The next prime is 90438853. The reversal of 90438840 is 4883409.

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

It is a junction number, because it is equal to n+sod(n) for n = 90438795 and 90438804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125250 + ... + 125969.

Almost surely, 290438840 is an apocalyptic number.

90438840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90438840 is an abundant number, since it is smaller than the sum of its proper divisors (203488560).

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

90438840 is a wasteful number, since it uses less digits than its factorization.

90438840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251236 (or 251229 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 90438840 is about 9509.9337537125. The cubic root of 90438840 is about 448.8676716473.

The spelling of 90438840 in words is "ninety million, four hundred thirty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 251219 502438 753657 1004876 1256095 1507314 2009752 2260971 2512190 3014628 3768285 4521942 5024380 6029256 7536570 9043884 10048760 11304855 15073140 18087768 22609710 30146280 45219420 90438840