Search a number
-
+
18953952 = 2531791103
BaseRepresentation
bin100100001001…
…1011011100000
31022122221221020
41020103123200
514323011302
61514125440
7320051223
oct110233340
938587836
1018953952
11a776426
126420880
133c08274
1427355ba
1519e5ebc
hex12136e0

18953952 has 48 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 6276992.

The previous prime is 18953941. The next prime is 18953983. The reversal of 18953952 is 25935981.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16633 + ... + 17735.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 218953952 is an apocalyptic number.

18953952 is a gapful number since it is divisible by the number (12) 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 18953952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

18953952 is an abundant number, since it is smaller than the sum of its proper divisors (31123488).

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

18953952 is a wasteful number, since it uses less digits than its factorization.

18953952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1287 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 18953952 is about 4353.6136714229. The cubic root of 18953952 is about 266.6244210855.

The spelling of 18953952 in words is "eighteen million, nine hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1103 1432 2148 2206 2864 3309 4296 4412 5728 6618 8592 8824 13236 17184 17648 26472 35296 52944 105888 197437 394874 592311 789748 1184622 1579496 2369244 3158992 4738488 6317984 9476976 18953952