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239416992 = 2533487569
BaseRepresentation
bin11100100010100…
…11011010100000
3121200111122101000
432101103122200
5442242320432
635431312000
75635003503
oct1621233240
9550448330
10239416992
11113165591
126821b600
133a7a8679
1423b2313a
151604357c
hexe4536a0

239416992 has 96 divisors (see below), whose sum is σ = 700963200. Its totient is φ = 79501824.

The previous prime is 239416951. The next prime is 239416997. The reversal of 239416992 is 299614932.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (239416997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420484 + ... + 421052.

It is an arithmetic number, because the mean of its divisors is an integer number (7301700).

Almost surely, 2239416992 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 239416992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350481600).

239416992 is an abundant number, since it is smaller than the sum of its proper divisors (461546208).

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

239416992 is a wasteful number, since it uses less digits than its factorization.

239416992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1061 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 239416992 is about 15473.1054413780. The cubic root of 239416992 is about 620.9428872305.

The spelling of 239416992 in words is "two hundred thirty-nine million, four hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 487 569 864 974 1138 1461 1707 1948 2276 2922 3414 3896 4383 4552 5121 5844 6828 7792 8766 9104 10242 11688 13149 13656 15363 15584 17532 18208 20484 23376 26298 27312 30726 35064 40968 46752 52596 54624 61452 70128 81936 105192 122904 140256 163872 210384 245808 277103 420768 491616 554206 831309 1108412 1662618 2216824 2493927 3325236 4433648 4987854 6650472 7481781 8867296 9975708 13300944 14963562 19951416 26601888 29927124 39902832 59854248 79805664 119708496 239416992