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23045248 = 27435379
BaseRepresentation
bin101011111101…
…0010010000000
31121100211010201
41113322102000
521344421443
62141534544
7366611212
oct127722200
947324121
1023045248
1112010266
127874454
134a0b555
1430bc5b2
15205334d
hex15fa480

23045248 has 64 divisors (see below), whose sum is σ = 48470400. Its totient is φ = 10902528.

The previous prime is 23045237. The next prime is 23045249. The reversal of 23045248 is 84254032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23045249) 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, 291673 + ... + 291751.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 223045248 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 23045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235200).

23045248 is an abundant number, since it is smaller than the sum of its proper divisors (25425152).

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

23045248 is an equidigital number, since it uses as much as digits as its factorization.

23045248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 23045248 is about 4800.5466355406. The cubic root of 23045248 is about 284.5730675525.

The spelling of 23045248 in words is "twenty-three million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 43 53 64 79 86 106 128 158 172 212 316 344 424 632 688 848 1264 1376 1696 2279 2528 2752 3392 3397 4187 4558 5056 5504 6784 6794 8374 9116 10112 13588 16748 18232 27176 33496 36464 54352 66992 72928 108704 133984 145856 180041 217408 267968 291712 360082 434816 535936 720164 1440328 2880656 5761312 11522624 23045248