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90442368 = 273278509
BaseRepresentation
bin1010110010000…
…00101010000000
320022011221121100
411121000222000
5141123123433
612550254400
72145514242
oct531005200
9208157540
1090442368
1147063765
1226357400
13159783c3
14c024092
157e17b13
hex5640a80

90442368 has 48 divisors (see below), whose sum is σ = 260260650. Its totient is φ = 30147072.

The previous prime is 90442367. The next prime is 90442409. The reversal of 90442368 is 86324409.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 56430144 + 34012224 = 7512^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90442367) 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, 38103 + ... + 40406.

Almost surely, 290442368 is an apocalyptic number.

It is an amenable number.

90442368 is an abundant number, since it is smaller than the sum of its proper divisors (169818282).

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

90442368 is a wasteful number, since it uses less digits than its factorization.

90442368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78529 (or 78514 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 90442368 is about 9510.1192421546. The cubic root of 90442368 is about 448.8735083156.

The spelling of 90442368 in words is "ninety million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 78509 157018 235527 314036 471054 628072 706581 942108 1256144 1413162 1884216 2512288 2826324 3768432 5024576 5652648 7536864 10049152 11305296 15073728 22610592 30147456 45221184 90442368