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290053632 = 2931117167
BaseRepresentation
bin10001010010011…
…101111000000000
3202012210020210010
4101102131320000
51043223204012
644440504520
710121262261
oct2122357000
9665706703
10290053632
11139800650
128117b140
134812778b
142a744968
151a6e6c3c
hex1149de00

290053632 has 80 divisors (see below), whose sum is σ = 843017472. Its totient is φ = 87889920.

The previous prime is 290053613. The next prime is 290053633. The reversal of 290053632 is 236350092.

It is a super-2 number, since 2×2900536322 = 168262218872782848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 290053632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290053633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8313 + ... + 25479.

Almost surely, 2290053632 is an apocalyptic number.

290053632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421508736).

290053632 is an abundant number, since it is smaller than the sum of its proper divisors (552963840).

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

290053632 is a wasteful number, since it uses less digits than its factorization.

290053632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17199 (or 17183 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 290053632 is about 17030.9609828688. The cubic root of 290053632 is about 661.9513964128.

The spelling of 290053632 in words is "two hundred ninety million, fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 17167 34334 51501 68668 103002 137336 188837 206004 274672 377674 412008 549344 566511 755348 824016 1098688 1133022 1510696 1648032 2197376 2266044 3021392 3296064 4394752 4532088 6042784 6592128 8789504 9064176 12085568 13184256 18128352 24171136 26368512 36256704 48342272 72513408 96684544 145026816 290053632