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51148656 = 24321389307
BaseRepresentation
bin1100001100011…
…1011101110000
310120020121202200
43003013131300
5101043224111
65024143200
71160520306
oct303073560
9116217680
1051148656
1126965819
1215167b00
13a79b1a0
146b16276
154755256
hex30c7770

51148656 has 120 divisors (see below), whose sum is σ = 156396240. Its totient is φ = 15510528.

The previous prime is 51148649. The next prime is 51148679. The reversal of 51148656 is 65684115.

51148656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51148656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166455 + ... + 166761.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 251148656 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 51148656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78198120).

51148656 is an abundant number, since it is smaller than the sum of its proper divisors (105247584).

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

51148656 is a wasteful number, since it uses less digits than its factorization.

51148656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 51148656 is about 7151.8288570127. The cubic root of 51148656 is about 371.2029413535.

The spelling of 51148656 in words is "fifty-one million, one hundred forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 89 104 117 144 156 178 208 234 267 307 312 356 468 534 614 624 712 801 921 936 1068 1157 1228 1424 1602 1842 1872 2136 2314 2456 2763 3204 3471 3684 3991 4272 4628 4912 5526 6408 6942 7368 7982 9256 10413 11052 11973 12816 13884 14736 15964 18512 20826 22104 23946 27323 27768 31928 35919 41652 44208 47892 54646 55536 63856 71838 81969 83304 95784 109292 143676 163938 166608 191568 218584 245907 287352 327876 355199 437168 491814 574704 655752 710398 983628 1065597 1311504 1420796 1967256 2131194 2841592 3196791 3934512 4262388 5683184 6393582 8524776 12787164 17049552 25574328 51148656