Search a number
-
+
235942432 = 25115312647
BaseRepresentation
bin11100001000000…
…11001000100000
3121102222010011121
432010003020200
5440400124212
635225022024
75563322545
oct1604031040
9542863147
10235942432
11111202050
1267024914
1339b6000b
142349abcc
1515aa8d07
hexe103220

235942432 has 48 divisors (see below), whose sum is σ = 516341952. Its totient is φ = 105214720.

The previous prime is 235942411. The next prime is 235942453. The reversal of 235942432 is 234249532.

It is an interprime number because it is at equal distance from previous prime (235942411) and next prime (235942453).

It is a plaindrome in base 14.

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, 12333 + ... + 24979.

It is an arithmetic number, because the mean of its divisors is an integer number (10757124).

Almost surely, 2235942432 is an apocalyptic number.

235942432 is a gapful number since it is divisible by the number (22) 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 235942432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258170976).

235942432 is an abundant number, since it is smaller than the sum of its proper divisors (280399520).

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

235942432 is a wasteful number, since it uses less digits than its factorization.

235942432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12721 (or 12713 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

The square root of 235942432 is about 15360.4177026538. The cubic root of 235942432 is about 617.9244085268.

The spelling of 235942432 in words is "two hundred thirty-five million, nine hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 4664 9328 12647 18656 25294 50588 101176 139117 202352 278234 404704 556468 670291 1112936 1340582 2225872 2681164 4451744 5362328 7373201 10724656 14746402 21449312 29492804 58985608 117971216 235942432