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51701664 = 2537229379
BaseRepresentation
bin1100010100111…
…0011110100000
310121021201100110
43011032132200
5101213423124
65044051320
71165312500
oct305163640
9117251313
1051701664
1127203253
1215393b40
13a932b01
146c1ba00
154814029
hex314e7a0

51701664 has 144 divisors (see below), whose sum is σ = 163749600. Its totient is φ = 14224896.

The previous prime is 51701647. The next prime is 51701669. The reversal of 51701664 is 46610715.

It is not an unprimeable number, because it can be changed into a prime (51701669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136227 + ... + 136605.

It is an arithmetic number, because the mean of its divisors is an integer number (1137150).

Almost surely, 251701664 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 51701664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81874800).

51701664 is an abundant number, since it is smaller than the sum of its proper divisors (112047936).

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

51701664 is a wasteful number, since it uses less digits than its factorization.

51701664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 51701664 is about 7190.3869158759. The cubic root of 51701664 is about 372.5359369560.

The spelling of 51701664 in words is "fifty-one million, seven hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 84 87 96 98 112 116 147 168 174 196 203 224 232 294 336 348 379 392 406 464 588 609 672 696 758 784 812 928 1137 1176 1218 1392 1421 1516 1568 1624 2274 2352 2436 2653 2784 2842 3032 3248 4263 4548 4704 4872 5306 5684 6064 6496 7959 8526 9096 9744 10612 10991 11368 12128 15918 17052 18192 18571 19488 21224 21982 22736 31836 32973 34104 36384 37142 42448 43964 45472 55713 63672 65946 68208 74284 76937 84896 87928 111426 127344 131892 136416 148568 153874 175856 222852 230811 254688 263784 297136 307748 351712 445704 461622 527568 538559 594272 615496 891408 923244 1055136 1077118 1230992 1615677 1782816 1846488 2154236 2461984 3231354 3692976 4308472 6462708 7385952 8616944 12925416 17233888 25850832 51701664