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90452724 = 223411571171
BaseRepresentation
bin1010110010000…
…11001011110100
320022012110210220
411121003023310
5141123441344
612550414340
72145556365
oct531031364
9208173726
1090452724
114707051a
12263613b0
131598002b
14c027b6c
157e1ac19
hex56432f4

90452724 has 48 divisors (see below), whose sum is σ = 217766976. Its totient is φ = 29203200.

The previous prime is 90452717. The next prime is 90452729. The reversal of 90452724 is 42725409.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90452729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76659 + ... + 77829.

It is an arithmetic number, because the mean of its divisors is an integer number (4536812).

Almost surely, 290452724 is an apocalyptic number.

It is an amenable number.

90452724 is an abundant number, since it is smaller than the sum of its proper divisors (127314252).

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

90452724 is a wasteful number, since it uses less digits than its factorization.

90452724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 90452724 is about 9510.6636992378. The cubic root of 90452724 is about 448.8906402445.

It can be divided in two parts, 904 and 52724, that added together give a triangular number (53628 = T327).

The spelling of 90452724 in words is "ninety million, four hundred fifty-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 41 82 123 157 164 246 314 471 492 628 942 1171 1884 2342 3513 4684 6437 7026 12874 14052 19311 25748 38622 48011 77244 96022 144033 183847 192044 288066 367694 551541 576132 735388 1103082 2206164 7537727 15075454 22613181 30150908 45226362 90452724