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23026464 = 253329919
BaseRepresentation
bin101011111010…
…1101100100000
31121022212101000
41113311230200
521343321324
62141312000
7366502356
oct127655440
947285330
1023026464
1111aa813a
127865600
134a02b36
1430b57d6
15204c9c9
hex15f5b20

23026464 has 96 divisors (see below), whose sum is σ = 69552000. Its totient is φ = 7402752.

The previous prime is 23026453. The next prime is 23026477. The reversal of 23026464 is 46462032.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24597 + ... + 25515.

It is an arithmetic number, because the mean of its divisors is an integer number (724500).

Almost surely, 223026464 is an apocalyptic number.

23026464 is a gapful number since it is divisible by the number (24) 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 23026464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34776000).

23026464 is an abundant number, since it is smaller than the sum of its proper divisors (46525536).

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

23026464 is a wasteful number, since it uses less digits than its factorization.

23026464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 23026464 is about 4798.5897928454. The cubic root of 23026464 is about 284.4957287811.

Adding to 23026464 its reverse (46462032), we get a palindrome (69488496).

The spelling of 23026464 in words is "twenty-three million, twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 919 928 1044 1392 1566 1838 2088 2757 2784 3132 3676 4176 5514 6264 7352 8271 8352 11028 12528 14704 16542 22056 24813 25056 26651 29408 33084 44112 49626 53302 66168 79953 88224 99252 106604 132336 159906 198504 213208 239859 264672 319812 397008 426416 479718 639624 719577 794016 852832 959436 1279248 1439154 1918872 2558496 2878308 3837744 5756616 7675488 11513232 23026464