Search a number
-
+
57332433240 = 23325821193979
BaseRepresentation
bin110101011001010001…
…111000000101011000
312110222121002101002100
4311121101320011120
51414404100330430
642201013003400
74066515433065
oct653121700530
9173877071070
1057332433240
1122350733735
12b140623560
135538bbb114
142abc4a3c6c
151758477960
hexd59478158

57332433240 has 96 divisors (see below), whose sum is σ = 186558325200. Its totient is φ = 15269948160.

The previous prime is 57332433229. The next prime is 57332433281. The reversal of 57332433240 is 4233423375.

57332433240 is a `hidden beast` number, since 5 + 7 + 3 + 324 + 3 + 324 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57332433195 and 57332433204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198571 + ... + 392549.

Almost surely, 257332433240 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 57332433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93279162600).

57332433240 is an abundant number, since it is smaller than the sum of its proper divisors (129225891960).

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

57332433240 is a wasteful number, since it uses less digits than its factorization.

57332433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194817 (or 194810 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 36.

The spelling of 57332433240 in words is "fifty-seven billion, three hundred thirty-two million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 821 1642 2463 3284 4105 4926 6568 7389 8210 9852 12315 14778 16420 19704 24630 29556 32840 36945 49260 59112 73890 98520 147780 193979 295560 387958 581937 775916 969895 1163874 1551832 1745811 1939790 2327748 2909685 3491622 3879580 4655496 5819370 6983244 7759160 8729055 11638740 13966488 17458110 23277480 34916220 69832440 159256759 318513518 477770277 637027036 796283795 955540554 1274054072 1433310831 1592567590 1911081108 2388851385 2866621662 3185135180 3822162216 4777702770 5733243324 6370270360 7166554155 9555405540 11466486648 14333108310 19110811080 28666216620 57332433240