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239424276100 = 225216722932
BaseRepresentation
bin1101111011111011001…
…1001000011010000100
3211212222220000102021111
43132332303020122010
512410320103313400
6301553501054404
723204104524322
oct3367663103204
9755886012244
10239424276100
11925a2842369
123a49a857404
13197680256b9
14b834024d12
1563646363ba
hex37becc8684

239424276100 has 81 divisors (see below), whose sum is σ = 524470370767. Its totient is φ = 94871337280.

The previous prime is 239424276089. The next prime is 239424276127. The reversal of 239424276100 is 1672424932.

The square root of 239424276100 is 489310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37916657284 + 201507618816 = 194722^2 + 448896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 817147554 + ... + 817147846.

Almost surely, 2239424276100 is an apocalyptic number.

239424276100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

239424276100 is the 489310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239424276100

239424276100 is an abundant number, since it is smaller than the sum of its proper divisors (285046094667).

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

239424276100 is an equidigital number, since it uses as much as digits as its factorization.

239424276100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

It can be divided in two parts, 239424 and 276100, that added together give a square (515524 = 7182).

The spelling of 239424276100 in words is "two hundred thirty-nine billion, four hundred twenty-four million, two hundred seventy-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 293 334 586 668 835 1172 1465 1670 2930 3340 4175 5860 7325 8350 14650 16700 27889 29300 48931 55778 85849 97862 111556 139445 171698 195724 244655 278890 343396 429245 489310 557780 697225 858490 978620 1223275 1394450 1716980 2146225 2446550 2788900 4292450 4893100 8171477 8584900 14336783 16342954 28673566 32685908 40857385 57347132 71683915 81714770 143367830 163429540 204286925 286735660 358419575 408573850 716839150 817147700 1433678300 2394242761 4788485522 9576971044 11971213805 23942427610 47884855220 59856069025 119712138050 239424276100