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90785536 = 2867279
BaseRepresentation
bin1010110100101…
…00011100000000
320022211101100021
411122110130000
5141220114121
613001503224
72151443602
oct532243400
9208741307
1090785536
1147278576
12264a1b14
1315a6866a
14c0b3172
157e84641
hex5694700

90785536 has 54 divisors (see below), whose sum is σ = 186290160. Its totient is φ = 44149248.

The previous prime is 90785509. The next prime is 90785537. The reversal of 90785536 is 63558709.

It is a junction number, because it is equal to n+sod(n) for n = 90785492 and 90785501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90785537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1149145 + ... + 1149223.

Almost surely, 290785536 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 90785536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93145080).

90785536 is an abundant number, since it is smaller than the sum of its proper divisors (95504624).

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

90785536 is an frugal number, since it uses more digits than its factorization.

90785536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 90785536 is about 9528.1444153623. The cubic root of 90785536 is about 449.4405162062.

The spelling of 90785536 in words is "ninety million, seven hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 67 79 128 134 158 256 268 316 536 632 1072 1264 2144 2528 4288 4489 5056 5293 8576 8978 10112 10586 17152 17956 20224 21172 35912 42344 71824 84688 143648 169376 287296 338752 354631 574592 677504 709262 1149184 1355008 1418524 2837048 5674096 11348192 22696384 45392768 90785536