Search a number
-
+
51493320 = 2334523691
BaseRepresentation
bin1100010001101…
…1100111001000
310120220010120000
43010123213020
5101140241240
65035403000
71163454204
oct304334710
9116803500
1051493320
112708076a
12152b3460
13a88c028
146ba5b04
1547c2430
hex311b9c8

51493320 has 160 divisors (see below), whose sum is σ = 180861120. Its totient is φ = 13115520.

The previous prime is 51493313. The next prime is 51493367. The reversal of 51493320 is 2339415.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74175 + ... + 74865.

It is an arithmetic number, because the mean of its divisors is an integer number (1130382).

Almost surely, 251493320 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 51493320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90430560).

51493320 is an abundant number, since it is smaller than the sum of its proper divisors (129367800).

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

51493320 is a wasteful number, since it uses less digits than its factorization.

51493320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 51493320 is about 7175.8846144570. The cubic root of 51493320 is about 372.0348562552.

The spelling of 51493320 in words is "fifty-one million, four hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 270 276 324 345 360 405 414 460 540 552 621 648 690 691 810 828 920 1035 1080 1242 1380 1382 1620 1656 1863 2070 2073 2484 2760 2764 3105 3240 3455 3726 4140 4146 4968 5528 6210 6219 6910 7452 8280 8292 9315 10365 12420 12438 13820 14904 15893 16584 18630 18657 20730 24840 24876 27640 31095 31786 37260 37314 41460 47679 49752 55971 62190 63572 74520 74628 79465 82920 93285 95358 111942 124380 127144 143037 149256 158930 186570 190716 223884 238395 248760 279855 286074 317860 373140 381432 429111 447768 476790 559710 572148 635720 715185 746280 858222 953580 1119420 1144296 1287333 1430370 1716444 1907160 2145555 2238840 2574666 2860740 3432888 4291110 5149332 5721480 6436665 8582220 10298664 12873330 17164440 25746660 51493320