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23042784 = 253475107
BaseRepresentation
bin101011111100…
…1101011100000
31121100200202110
41113321223200
521344332114
62141515320
7366601062
oct127715340
947320673
1023042784
1112009426
127872b40
134a0a3ab
1430bb732
152052759
hex15f9ae0

23042784 has 48 divisors (see below), whose sum is σ = 61786368. Its totient is φ = 7516032.

The previous prime is 23042783. The next prime is 23042819. The reversal of 23042784 is 48724032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23042783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1959 + ... + 7065.

It is an arithmetic number, because the mean of its divisors is an integer number (1287216).

Almost surely, 223042784 is an apocalyptic number.

23042784 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 23042784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30893184).

23042784 is an abundant number, since it is smaller than the sum of its proper divisors (38743584).

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

23042784 is a wasteful number, since it uses less digits than its factorization.

23042784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5159 counting only the distinct ones).

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

The square root of 23042784 is about 4800.2899912401. The cubic root of 23042784 is about 284.5629249983.

The spelling of 23042784 in words is "twenty-three million, forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 5107 10214 15321 20428 30642 40856 61284 81712 122568 163424 240029 245136 480058 490272 720087 960116 1440174 1920232 2880348 3840464 5760696 7680928 11521392 23042784