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23425632 = 2533191427
BaseRepresentation
bin101100101011…
…1001001100000
31122002010221000
41121113021200
521444110012
62154032000
7403054206
oct131271140
948063830
1023425632
111225002a
127a18600
134b12729
14317b076
1520caddc
hex1657260

23425632 has 96 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 7392384.

The previous prime is 23425573. The next prime is 23425663. The reversal of 23425632 is 23652432.

23425632 is a `hidden beast` number, since 2 + 3 + 4 + 25 + 632 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 23425596 and 23425605.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15703 + ... + 17129.

It is an arithmetic number, because the mean of its divisors is an integer number (749700).

Almost surely, 223425632 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 23425632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

23425632 is an abundant number, since it is smaller than the sum of its proper divisors (48545568).

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

23425632 is a wasteful number, since it uses less digits than its factorization.

23425632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1451 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 23425632 is about 4840.0033057840. The cubic root of 23425632 is about 286.1302485944.

The spelling of 23425632 in words is "twenty-three million, four hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1427 1824 2052 2736 2854 4104 4281 5472 5708 8208 8562 11416 12843 16416 17124 22832 25686 27113 34248 38529 45664 51372 54226 68496 77058 81339 102744 108452 136992 154116 162678 205488 216904 244017 308232 325356 410976 433808 488034 616464 650712 732051 867616 976068 1232928 1301424 1464102 1952136 2602848 2928204 3904272 5856408 7808544 11712816 23425632