Search a number
-
+
51623460 = 22335721951
BaseRepresentation
bin1100010011101…
…1011000100100
310121010202002000
43010323120210
5101203422320
65042245300
71164535500
oct304733044
9117122060
1051623460
112715a519
1215356830
13a906335
146bdb300
1547eac90
hex313b624

51623460 has 144 divisors (see below), whose sum is σ = 186923520. Its totient is φ = 11793600.

The previous prime is 51623459. The next prime is 51623479. The reversal of 51623460 is 6432615.

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

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, 25485 + ... + 27435.

It is an arithmetic number, because the mean of its divisors is an integer number (1298080).

Almost surely, 251623460 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 51623460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93461760).

51623460 is an abundant number, since it is smaller than the sum of its proper divisors (135300060).

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

51623460 is a wasteful number, since it uses less digits than its factorization.

51623460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 51623460 is about 7184.9467638946. The cubic root of 51623460 is about 372.3480094001.

The spelling of 51623460 in words is "fifty-one million, six hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 1951 2205 2646 2940 3780 3902 4410 5292 5853 6615 7804 8820 9755 11706 13230 13657 17559 19510 23412 26460 27314 29265 35118 39020 40971 52677 54628 58530 68285 70236 81942 87795 95599 105354 117060 122913 136570 163884 175590 191198 204855 210708 245826 263385 273140 286797 351180 368739 382396 409710 477995 491652 526770 573594 614565 737478 819420 860391 955990 1053540 1147188 1229130 1433985 1474956 1720782 1843695 1911980 2458260 2581173 2867970 3441564 3687390 4301955 5162346 5735940 7374780 8603910 10324692 12905865 17207820 25811730 51623460