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90427284 = 2232171391063
BaseRepresentation
bin1010110001111…
…00111110010100
320022011011220200
411120330332110
5141122133114
612550100500
72145422253
oct530747624
9208134820
1090427284
11470533a2
122634a730
131597158c
14c01c79a
157e13409
hex563cf94

90427284 has 72 divisors (see below), whose sum is σ = 243996480. Its totient is φ = 28138752.

The previous prime is 90427241. The next prime is 90427303. The reversal of 90427284 is 48272409.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84537 + ... + 85599.

It is an arithmetic number, because the mean of its divisors is an integer number (3388840).

Almost surely, 290427284 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 90427284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121998240).

90427284 is an abundant number, since it is smaller than the sum of its proper divisors (153569196).

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

90427284 is a wasteful number, since it uses less digits than its factorization.

90427284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 90427284 is about 9509.3261590925. The cubic root of 90427284 is about 448.8485525175.

The spelling of 90427284 in words is "ninety million, four hundred twenty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 139 153 204 278 306 417 556 612 834 1063 1251 1668 2126 2363 2502 3189 4252 4726 5004 6378 7089 9452 9567 12756 14178 18071 19134 21267 28356 36142 38268 42534 54213 72284 85068 108426 147757 162639 216852 295514 325278 443271 591028 650556 886542 1329813 1773084 2511869 2659626 5023738 5319252 7535607 10047476 15071214 22606821 30142428 45213642 90427284