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90429892 = 2273193469
BaseRepresentation
bin1010110001111…
…01100111000100
320022011022111021
411120331213010
5141122224032
612550120524
72145433000
oct530754704
9208138437
1090429892
1147055353
1226350144
1315972817
14c01d700
157e14097
hex563d9c4

90429892 has 48 divisors (see below), whose sum is σ = 194320000. Its totient is φ = 36705312.

The previous prime is 90429881. The next prime is 90429893. The reversal of 90429892 is 29892409.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90429893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24334 + ... + 27802.

Almost surely, 290429892 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 90429892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97160000).

90429892 is an abundant number, since it is smaller than the sum of its proper divisors (103890108).

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

90429892 is a wasteful number, since it uses less digits than its factorization.

90429892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 90429892 is about 9509.4632866424. The cubic root of 90429892 is about 448.8528675344.

The spelling of 90429892 in words is "ninety million, four hundred twenty-nine thousand, eight hundred ninety-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 532 686 931 1372 1862 3469 3724 6517 6938 13034 13876 24283 26068 48566 65911 97132 131822 169981 263644 339962 461377 679924 922754 1189867 1845508 2379734 3229639 4759468 6459278 12918556 22607473 45214946 90429892