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90054016 = 2713223181
BaseRepresentation
bin1010101111000…
…01110110000000
320021110012212221
411113201312000
5141023212031
612534100424
72142306103
oct527416600
9207405787
1090054016
1146918a08
12261aa714
1315870700
14bd6273a
157d8ca11
hex55e1d80

90054016 has 96 divisors (see below), whose sum is σ = 203832720. Its totient is φ = 39536640.

The previous prime is 90054011. The next prime is 90054043. The reversal of 90054016 is 61045009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90054011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497446 + ... + 497626.

Almost surely, 290054016 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 90054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101916360).

90054016 is an abundant number, since it is smaller than the sum of its proper divisors (113778704).

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

90054016 is a wasteful number, since it uses less digits than its factorization.

90054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 90054016 is about 9489.6794466410. The cubic root of 90054016 is about 448.2301113769.

The spelling of 90054016 in words is "ninety million, fifty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 169 181 184 208 299 338 362 368 416 598 676 724 736 832 1196 1352 1448 1472 1664 2353 2392 2704 2896 2944 3887 4163 4706 4784 5408 5792 7774 8326 9412 9568 10816 11584 15548 16652 18824 19136 21632 23168 30589 31096 33304 37648 38272 54119 61178 62192 66608 75296 108238 122356 124384 133216 150592 216476 244712 248768 266432 301184 432952 489424 497536 532864 703547 865904 978848 1407094 1731808 1957696 2814188 3463616 3915392 5628376 6927232 11256752 22513504 45027008 90054016