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90464076 = 223231103787
BaseRepresentation
bin1010110010001…
…01111101001100
320022020001101100
411121011331030
5141124322301
612550543100
72145634443
oct531057514
9208201340
1090464076
1147078aaa
1226367a90
1315985251
14c02bd5a
157e1e286
hex5645f4c

90464076 has 72 divisors (see below), whose sum is σ = 238644224. Its totient is φ = 28861920.

The previous prime is 90464053. The next prime is 90464117. The reversal of 90464076 is 67046409.

90464076 is a `hidden beast` number, since 9 + 0 + 4 + 640 + 7 + 6 = 666.

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 90464076.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114555 + ... + 115341.

Almost surely, 290464076 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 90464076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119322112).

90464076 is an abundant number, since it is smaller than the sum of its proper divisors (148180148).

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

90464076 is a wasteful number, since it uses less digits than its factorization.

90464076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 90464076 is about 9511.2604842891. The cubic root of 90464076 is about 448.9094183537.

It can be divided in two parts, 904 and 64076, that added together give a triangular number (64980 = T360).

The spelling of 90464076 in words is "ninety million, four hundred sixty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 103 124 186 206 279 309 372 412 558 618 787 927 1116 1236 1574 1854 2361 3148 3193 3708 4722 6386 7083 9444 9579 12772 14166 19158 24397 28332 28737 38316 48794 57474 73191 81061 97588 114948 146382 162122 219573 243183 292764 324244 439146 486366 729549 878292 972732 1459098 2512891 2918196 5025782 7538673 10051564 15077346 22616019 30154692 45232038 90464076