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57416700 = 2235211127137
BaseRepresentation
bin1101101100000…
…1101111111100
311000001001220110
43123001233330
5104144313300
65410350020
71265014425
oct333015774
9130031813
1057416700
112a457020
121728b310
13bb841a3
1478a864c
155092550
hex36c1bfc

57416700 has 144 divisors (see below), whose sum is σ = 183988224. Its totient is φ = 13708800.

The previous prime is 57416683. The next prime is 57416713. The reversal of 57416700 is 761475.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419032 + ... + 419168.

It is an arithmetic number, because the mean of its divisors is an integer number (1277696).

Almost surely, 257416700 is an apocalyptic number.

57416700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57416700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91994112).

57416700 is an abundant number, since it is smaller than the sum of its proper divisors (126571524).

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

57416700 is a wasteful number, since it uses less digits than its factorization.

57416700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 57416700 is about 7577.3808139752. The cubic root of 57416700 is about 385.7856560074.

The spelling of 57416700 in words is "fifty-seven million, four hundred sixteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 127 132 137 150 165 220 254 274 275 300 330 381 411 508 548 550 635 660 685 762 822 825 1100 1270 1370 1397 1507 1524 1644 1650 1905 2055 2540 2740 2794 3014 3175 3300 3425 3810 4110 4191 4521 5588 6028 6350 6850 6985 7535 7620 8220 8382 9042 9525 10275 12700 13700 13970 15070 16764 17399 18084 19050 20550 20955 22605 27940 30140 34798 34925 37675 38100 41100 41910 45210 52197 69596 69850 75350 83820 86995 90420 104394 104775 113025 139700 150700 173990 191389 208788 209550 226050 260985 347980 382778 419100 434975 452100 521970 574167 765556 869950 956945 1043940 1148334 1304925 1739900 1913890 2296668 2609850 2870835 3827780 4784725 5219700 5741670 9569450 11483340 14354175 19138900 28708350 57416700