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90975474 = 2344113697
BaseRepresentation
bin1010110110000…
…10110011110010
320100012000220000
411123002303302
5141242203344
613005530430
72153164422
oct533026362
9210160800
1090975474
1147398247
1226573a16
1315b03c55
14c122482
157ec0a69
hex56c2cf2

90975474 has 40 divisors (see below), whose sum is σ = 208839708. Its totient is φ = 29583360.

The previous prime is 90975473. The next prime is 90975491. The reversal of 90975474 is 47457909.

90975474 is a `hidden beast` number, since 90 + 97 + 5 + 474 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62299449 + 28676025 = 7893^2 + 5355^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90975473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207 + ... + 13490.

Almost surely, 290975474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90975474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104419854).

90975474 is an abundant number, since it is smaller than the sum of its proper divisors (117864234).

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

90975474 is a wasteful number, since it uses less digits than its factorization.

90975474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13752 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 90975474 is about 9538.1064158459. The cubic root of 90975474 is about 449.7537319180.

The spelling of 90975474 in words is "ninety million, nine hundred seventy-five thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 13697 27394 41091 82182 123273 246546 369819 561577 739638 1109457 1123154 1684731 2218914 3369462 5054193 10108386 15162579 30325158 45487737 90975474