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90839238 = 2372319967
BaseRepresentation
bin1010110101000…
…01100011000110
320022221010000020
411122201203012
5141223323423
613003000010
72152056300
oct532414306
9208833006
1090839238
1147304956
1226509006
1315a86c39
14c0c8970
157e954e3
hex56a18c6

90839238 has 48 divisors (see below), whose sum is σ = 218179584. Its totient is φ = 25114320.

The previous prime is 90839237. The next prime is 90839249. The reversal of 90839238 is 83293809.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90839238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90839233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4131 + ... + 14097.

It is an arithmetic number, because the mean of its divisors is an integer number (4545408).

Almost surely, 290839238 is an apocalyptic number.

90839238 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90839238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109089792).

90839238 is an abundant number, since it is smaller than the sum of its proper divisors (127340346).

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

90839238 is a wasteful number, since it uses less digits than its factorization.

90839238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10017 (or 10010 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 90839238 is about 9530.9620710608. The cubic root of 90839238 is about 449.5291173140.

The spelling of 90839238 in words is "ninety million, eight hundred thirty-nine thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 9114 9967 19934 29901 59802 69769 139538 209307 308977 418614 488383 617954 926931 976766 1465149 1853862 2162839 2930298 4325678 6488517 12977034 15139873 30279746 45419619 90839238