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90056428 = 227112191399
BaseRepresentation
bin1010101111000…
…10011011101100
320021110100012021
411113202123230
5141023301203
612534115524
72142316120
oct527423354
9207410167
1090056428
114691a800
12261abba4
1315871837
14bd63580
157d8d5bd
hex55e26ec

90056428 has 72 divisors (see below), whose sum is σ = 208544000. Its totient is φ = 33216480.

The previous prime is 90056423. The next prime is 90056441. The reversal of 90056428 is 82465009.

It is a happy number.

It is a super-2 number, since 2×900564282 = 16220320448238368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90056393 and 90056402.

It is not an unprimeable number, because it can be changed into a prime (90056423) 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, 63673 + ... + 65071.

Almost surely, 290056428 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 90056428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104272000).

90056428 is an abundant number, since it is smaller than the sum of its proper divisors (118487572).

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

90056428 is a wasteful number, since it uses less digits than its factorization.

90056428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 90056428 is about 9489.8065312207. The cubic root of 90056428 is about 448.2341131283.

The spelling of 90056428 in words is "ninety million, fifty-six thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 121 133 154 209 242 266 308 418 484 532 836 847 1399 1463 1694 2299 2798 2926 3388 4598 5596 5852 9196 9793 15389 16093 19586 26581 30778 32186 39172 53162 61556 64372 106324 107723 169279 186067 215446 292391 338558 372134 430892 584782 677116 744268 1169564 1184953 2046737 2369906 3216301 4093474 4739812 6432602 8186948 12865204 22514107 45028214 90056428