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23048352 = 2532191419
BaseRepresentation
bin101011111101…
…1000010100000
31121100222101200
41113323002200
521400021402
62142001200
7366623235
oct127730240
947328350
1023048352
1112012628
127876200
134a0caa2
1430bd78c
15205421c
hex15fb0a0

23048352 has 72 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 7624320.

The previous prime is 23048351. The next prime is 23048357. The reversal of 23048352 is 25384032.

23048352 is a `hidden beast` number, since 2 + 304 + 8 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (23048351) 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, 54799 + ... + 55217.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 223048352 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 23048352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

23048352 is an abundant number, since it is smaller than the sum of its proper divisors (42995808).

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

23048352 is a wasteful number, since it uses less digits than its factorization.

23048352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23048352 is about 4800.8699211705. The cubic root of 23048352 is about 284.5858435073.

The spelling of 23048352 in words is "twenty-three million, forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 419 573 764 838 1146 1257 1528 1676 1719 2292 2514 3056 3352 3438 3771 4584 5028 6112 6704 6876 7542 9168 10056 13408 13752 15084 18336 20112 27504 30168 40224 55008 60336 80029 120672 160058 240087 320116 480174 640232 720261 960348 1280464 1440522 1920696 2560928 2881044 3841392 5762088 7682784 11524176 23048352