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23057408 = 210112389
BaseRepresentation
bin101011111110…
…1010000000000
31121101102211002
41113331100000
521400314113
62142111132
7366661523
oct127752000
947342732
1023057408
1112019410
12787b4a8
134a13c4a
1430c2bba
152056c58
hex15fd400

23057408 has 88 divisors (see below), whose sum is σ = 53058240. Its totient is φ = 9912320.

The previous prime is 23057399. The next prime is 23057413. The reversal of 23057408 is 80475032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

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, 259028 + ... + 259116.

Almost surely, 223057408 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 23057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26529120).

23057408 is an abundant number, since it is smaller than the sum of its proper divisors (30000832).

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

23057408 is a wasteful number, since it uses less digits than its factorization.

23057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 23057408 is about 4801.8129909441. The cubic root of 23057408 is about 284.6231111311.

The spelling of 23057408 in words is "twenty-three million, fifty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 89 92 128 176 178 184 253 256 352 356 368 506 512 704 712 736 979 1012 1024 1408 1424 1472 1958 2024 2047 2816 2848 2944 3916 4048 4094 5632 5696 5888 7832 8096 8188 11264 11392 11776 15664 16192 16376 22517 22784 23552 31328 32384 32752 45034 45568 62656 64768 65504 90068 91136 125312 129536 131008 180136 250624 259072 262016 360272 501248 524032 720544 1002496 1048064 1441088 2096128 2882176 5764352 11528704 23057408