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242633832 = 23371444249
BaseRepresentation
bin11100111011001…
…00110001101000
3121220120002001020
432131210301220
5444103240312
640024252440
76004232160
oct1635446150
9556502036
10242633832
11114a62431
1269311120
133b36391c
142431d5a0
151647b78c
hexe764c68

242633832 has 32 divisors (see below), whose sum is σ = 693240000. Its totient is φ = 69323904.

The previous prime is 242633791. The next prime is 242633837. The reversal of 242633832 is 238336242.

242633832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242633793 and 242633802.

It is not an unprimeable number, because it can be changed into a prime (242633837) 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, 721957 + ... + 722292.

It is an arithmetic number, because the mean of its divisors is an integer number (21663750).

Almost surely, 2242633832 is an apocalyptic number.

It is an amenable number.

242633832 is an abundant number, since it is smaller than the sum of its proper divisors (450606168).

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

242633832 is a wasteful number, since it uses less digits than its factorization.

242633832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444265 (or 1444261 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 242633832 is about 15576.7079962359. The cubic root of 242633832 is about 623.7115489622.

The spelling of 242633832 in words is "two hundred forty-two million, six hundred thirty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1444249 2888498 4332747 5776996 8665494 10109743 11553992 17330988 20219486 30329229 34661976 40438972 60658458 80877944 121316916 242633832