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23874464 = 253141587
BaseRepresentation
bin101101100010…
…0101110100000
31122220221121102
41123010232200
522102440324
62211413532
7406633565
oct133045640
948827542
1023874464
1112527269
127bb42a8
134c3bb03
14325686c
152168dae
hex16c4ba0

23874464 has 48 divisors (see below), whose sum is σ = 49787136. Its totient is φ = 11251200.

The previous prime is 23874421. The next prime is 23874467. The reversal of 23874464 is 46447832.

It is not an unprimeable number, because it can be changed into a prime (23874467) 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, 40379 + ... + 40965.

It is an arithmetic number, because the mean of its divisors is an integer number (1037232).

Almost surely, 223874464 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 23874464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24893568).

23874464 is an abundant number, since it is smaller than the sum of its proper divisors (25912672).

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

23874464 is a wasteful number, since it uses less digits than its factorization.

23874464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its digits is 129024, while the sum is 38.

The square root of 23874464 is about 4886.1502228237. The cubic root of 23874464 is about 287.9461061705.

The spelling of 23874464 in words is "twenty-three million, eight hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 164 248 328 496 587 656 992 1174 1271 1312 2348 2542 4696 5084 9392 10168 18197 18784 20336 24067 36394 40672 48134 72788 96268 145576 192536 291152 385072 582304 746077 770144 1492154 2984308 5968616 11937232 23874464