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23272824 = 2331019601
BaseRepresentation
bin101100011000…
…1110101111000
31121210101022110
41120301311320
521424212244
62150452320
7401546541
oct130616570
947711273
1023272824
1112156243
1279640a0
134a8b003
14313b4c8
15209a9b9
hex1631d78

23272824 has 32 divisors (see below), whose sum is σ = 58764240. Its totient is φ = 7680000.

The previous prime is 23272817. The next prime is 23272829. The reversal of 23272824 is 42827232.

It is a junction number, because it is equal to n+sod(n) for n = 23272791 and 23272800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23272829) 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 7 ways as a sum of consecutive naturals, for example, 2377 + ... + 7224.

Almost surely, 223272824 is an apocalyptic number.

23272824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23272824 is an abundant number, since it is smaller than the sum of its proper divisors (35491416).

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

23272824 is a wasteful number, since it uses less digits than its factorization.

23272824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9711 (or 9707 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 23272824 is about 4824.1915384860. The cubic root of 23272824 is about 285.5067377461.

It can be divided in two parts, 2327 and 2824, that added together give a triangular number (5151 = T101).

The spelling of 23272824 in words is "twenty-three million, two hundred seventy-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 9601 19202 28803 38404 57606 76808 115212 230424 969701 1939402 2909103 3878804 5818206 7757608 11636412 23272824