Search a number
-
+
51901590 = 23513229353
BaseRepresentation
bin1100010111111…
…1010010010110
310121122212121010
43011333102112
5101241322330
65052233050
71200104406
oct305772226
9117585533
1051901590
112732a484
121546b786
13a9a2b00
146c70806
1548533b0
hex317f496

51901590 has 96 divisors (see below), whose sum is σ = 139929120. Its totient is φ = 12300288.

The previous prime is 51901589. The next prime is 51901607. The reversal of 51901590 is 9510915.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 146854 + ... + 147206.

It is an arithmetic number, because the mean of its divisors is an integer number (1457595).

Almost surely, 251901590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51901590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69964560).

51901590 is an abundant number, since it is smaller than the sum of its proper divisors (88027530).

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

51901590 is a wasteful number, since it uses less digits than its factorization.

51901590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 30.

The square root of 51901590 is about 7204.2758137095. The cubic root of 51901590 is about 373.0155077443.

The spelling of 51901590 in words is "fifty-one million, nine hundred one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 169 174 195 290 338 353 377 390 435 507 706 754 845 870 1014 1059 1131 1690 1765 1885 2118 2262 2535 3530 3770 4589 4901 5070 5295 5655 9178 9802 10237 10590 11310 13767 14703 20474 22945 24505 27534 29406 30711 45890 49010 51185 59657 61422 68835 73515 102370 119314 133081 137670 147030 153555 178971 266162 298285 307110 357942 399243 596570 665405 798486 894855 1330810 1730053 1789710 1996215 3460106 3992430 5190159 8650265 10380318 17300530 25950795 51901590