Search a number
-
+
51657696 = 2533173517
BaseRepresentation
bin1100010100001…
…1101111100000
310121012111001000
43011003233200
5101211021241
65043112000
71165040346
oct305035740
9117174030
1051657696
1127183212
1215372600
13a918aac
146c09996
154805eb6
hex3143be0

51657696 has 96 divisors (see below), whose sum is σ = 159576480. Its totient is φ = 16201728.

The previous prime is 51657689. The next prime is 51657703. The reversal of 51657696 is 69675615.

It is an interprime number because it is at equal distance from previous prime (51657689) and next prime (51657703).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12930 + ... + 16446.

It is an arithmetic number, because the mean of its divisors is an integer number (1662255).

Almost surely, 251657696 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 51657696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79788240).

51657696 is an abundant number, since it is smaller than the sum of its proper divisors (107918784).

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

51657696 is a wasteful number, since it uses less digits than its factorization.

51657696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3539 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 51657696 is about 7187.3288501362. The cubic root of 51657696 is about 372.4303033123.

The spelling of 51657696 in words is "fifty-one million, six hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3517 3672 4896 7034 7344 10551 14068 14688 21102 28136 31653 42204 56272 59789 63306 84408 94959 112544 119578 126612 168816 179367 189918 239156 253224 337632 358734 379836 478312 506448 538101 717468 759672 956624 1012896 1076202 1434936 1519344 1614303 1913248 2152404 2869872 3038688 3228606 4304808 5739744 6457212 8609616 12914424 17219232 25828848 51657696