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90487032 = 2334797827
BaseRepresentation
bin1010110010010…
…11100011111000
320022021012212120
411121023203320
5141131041112
612551241240
72146061406
oct531134370
9208235776
1090487032
1147094279
1226379220
131599282c
14c036476
157e25e8c
hex564b8f8

90487032 has 64 divisors (see below), whose sum is σ = 233694720. Its totient is φ = 29180928.

The previous prime is 90487031. The next prime is 90487043. The reversal of 90487032 is 23078409.

It is a junction number, because it is equal to n+sod(n) for n = 90486984 and 90487002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90487031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109003 + ... + 109829.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 290487032 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 90487032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

90487032 is an abundant number, since it is smaller than the sum of its proper divisors (143207688).

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

90487032 is a wasteful number, since it uses less digits than its factorization.

90487032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 90487032 is about 9512.4671878541. The cubic root of 90487032 is about 448.9473866225.

The spelling of 90487032 in words is "ninety million, four hundred eighty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 97 141 188 194 282 291 376 388 564 582 776 827 1128 1164 1654 2328 2481 3308 4559 4962 6616 9118 9924 13677 18236 19848 27354 36472 38869 54708 77738 80219 109416 116607 155476 160438 233214 240657 310952 320876 466428 481314 641752 932856 962628 1925256 3770293 7540586 11310879 15081172 22621758 30162344 45243516 90487032