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23045472 = 253417523
BaseRepresentation
bin101011111101…
…0010101100000
31121100211110000
41113322111200
521344423342
62141540000
7366611652
oct127722540
947324400
1023045472
111201044a
127874600
134a0b698
1430bc6d2
15205344c
hex15fa560

23045472 has 120 divisors (see below), whose sum is σ = 71900136. Its totient is φ = 7216128.

The previous prime is 23045467. The next prime is 23045479. The reversal of 23045472 is 27454032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23045479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43803 + ... + 44325.

Almost surely, 223045472 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 23045472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35950068).

23045472 is an abundant number, since it is smaller than the sum of its proper divisors (48854664).

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

23045472 is a wasteful number, since it uses less digits than its factorization.

23045472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 23045472 is about 4800.5699661603. The cubic root of 23045472 is about 284.5739895670.

It can be divided in two parts, 2304 and 5472, that added together give a 5-th power (7776 = 65).

The spelling of 23045472 in words is "twenty-three million, forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 523 544 612 648 816 864 918 1046 1224 1296 1377 1569 1632 1836 2092 2448 2592 2754 3138 3672 4184 4707 4896 5508 6276 7344 8368 8891 9414 11016 12552 14121 14688 16736 17782 18828 22032 25104 26673 28242 35564 37656 42363 44064 50208 53346 56484 71128 75312 80019 84726 106692 112968 142256 150624 160038 169452 213384 225936 240057 284512 320076 338904 426768 451872 480114 640152 677808 720171 853536 960228 1280304 1355616 1440342 1920456 2560608 2880684 3840912 5761368 7681824 11522736 23045472