Search a number
-
+
51600640 = 285713443
BaseRepresentation
bin1100010011010…
…1110100000000
310121002120202211
43010311310000
5101202210030
65041551504
71164412120
oct304656400
9117076684
1051600640
1127144363
1215345594
13a8c8b30
146bd2c80
1547e412a
hex3135d00

51600640 has 144 divisors (see below), whose sum is σ = 152466048. Its totient is φ = 16293888.

The previous prime is 51600629. The next prime is 51600649. The reversal of 51600640 is 4600615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51600649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116259 + ... + 116701.

It is an arithmetic number, because the mean of its divisors is an integer number (1058792).

Almost surely, 251600640 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 51600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76233024).

51600640 is an abundant number, since it is smaller than the sum of its proper divisors (100865408).

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

51600640 is a wasteful number, since it uses less digits than its factorization.

51600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 51600640 is about 7183.3585459728. The cubic root of 51600640 is about 372.2931361965.

The spelling of 51600640 in words is "fifty-one million, six hundred thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 443 448 455 520 560 640 728 832 886 896 910 1040 1120 1280 1456 1664 1772 1792 1820 2080 2215 2240 2912 3101 3328 3544 3640 4160 4430 4480 5759 5824 6202 7088 7280 8320 8860 8960 11518 11648 12404 14176 14560 15505 16640 17720 23036 23296 24808 28352 28795 29120 31010 35440 40313 46072 49616 56704 57590 58240 62020 70880 80626 92144 99232 113408 115180 116480 124040 141760 161252 184288 198464 201565 230360 248080 283520 322504 368576 396928 403130 460720 496160 567040 645008 737152 793856 806260 921440 992320 1290016 1474304 1612520 1842880 1984640 2580032 3225040 3685760 3969280 5160064 6450080 7371520 10320128 12900160 25800320 51600640