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4232139408 = 243372199931
BaseRepresentation
bin1111110001000001…
…0101001010010000
3101220221111221212000
43330100111022100
532131411430113
61535541234000
7206606406600
oct37420251220
911827457760
104232139408
111881a28a82
129a1402900
13525a4c703
142c2100c00
1519b82c373
hexfc415290

4232139408 has 120 divisors (see below), whose sum is σ = 14131193760. Its totient is φ = 1209176640.

The previous prime is 4232139371. The next prime is 4232139479. The reversal of 4232139408 is 8049312324.

4232139408 is a `hidden beast` number, since 4 + 232 + 13 + 9 + 408 = 666.

It is a super-2 number, since 2×42321394082 = 35822007937493180928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78798 + ... + 121133.

It is an arithmetic number, because the mean of its divisors is an integer number (117759948).

Almost surely, 24232139408 is an apocalyptic number.

4232139408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4232139408 is an abundant number, since it is smaller than the sum of its proper divisors (9899054352).

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

4232139408 is a wasteful number, since it uses less digits than its factorization.

4232139408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199962 (or 199943 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4232139408 is about 65054.8953423184. The cubic root of 4232139408 is about 1617.5336407016.

The spelling of 4232139408 in words is "four billion, two hundred thirty-two million, one hundred thirty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 199931 399862 599793 799724 1199586 1399517 1599448 1799379 2399172 2799034 3198896 3598758 4198551 4798344 5398137 5598068 7197516 8397102 9596688 9796619 10796274 11196136 12595653 14395032 16794204 19593238 21592548 22392272 25191306 28790064 29389857 33588408 37786959 39186476 43185096 50382612 58779714 67176816 75573918 78372952 86370192 88169571 100765224 117559428 151147836 156745904 176339142 201530448 235118856 264508713 302295672 352678284 470237712 529017426 604591344 705356568 1058034852 1410713136 2116069704 4232139408