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51148140 = 223531107257
BaseRepresentation
bin1100001100011…
…1010101101100
310120020121001120
43003013111230
5101043220030
65024140540
71160515641
oct303072554
9116217046
1051148140
112696539a
1215167750
13a79ab94
146b15dc8
154755010
hex30c756c

51148140 has 96 divisors (see below), whose sum is σ = 149796864. Its totient is φ = 13025280.

The previous prime is 51148093. The next prime is 51148157. The reversal of 51148140 is 4184115.

51148140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511481402 = 5232264450919200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51148140.

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 31 ways as a sum of consecutive naturals, for example, 198892 + ... + 199148.

It is an arithmetic number, because the mean of its divisors is an integer number (1560384).

Almost surely, 251148140 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 51148140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74898432).

51148140 is an abundant number, since it is smaller than the sum of its proper divisors (98648724).

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

51148140 is a wasteful number, since it uses less digits than its factorization.

51148140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 51148140 is about 7151.7927822330. The cubic root of 51148140 is about 371.2016930877.

The spelling of 51148140 in words is "fifty-one million, one hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 107 124 155 186 214 257 310 321 372 428 465 514 535 620 642 771 930 1028 1070 1284 1285 1542 1605 1860 2140 2570 3084 3210 3317 3855 5140 6420 6634 7710 7967 9951 13268 15420 15934 16585 19902 23901 27499 31868 33170 39804 39835 47802 49755 54998 66340 79670 82497 95604 99510 109996 119505 137495 159340 164994 199020 239010 274990 329988 412485 478020 549980 824970 852469 1649940 1704938 2557407 3409876 4262345 5114814 8524690 10229628 12787035 17049380 25574070 51148140