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51871820 = 225711132591
BaseRepresentation
bin1100010111100…
…0000001001100
310121121100202112
43011320001030
5101234344240
65051443152
71166621540
oct305700114
9117540675
1051871820
112730a080
12154564b8
13a9923b0
146c63a20
154849665
hex317804c

51871820 has 96 divisors (see below), whose sum is σ = 146313216. Its totient is φ = 14918400.

The previous prime is 51871769. The next prime is 51871823. The reversal of 51871820 is 2817815.

It is a happy number.

It is a super-2 number, since 2×518718202 = 5381371420224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51871823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18725 + ... + 21315.

It is an arithmetic number, because the mean of its divisors is an integer number (1524096).

Almost surely, 251871820 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 51871820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73156608).

51871820 is an abundant number, since it is smaller than the sum of its proper divisors (94441396).

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

51871820 is a wasteful number, since it uses less digits than its factorization.

51871820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 51871820 is about 7202.2093832379. The cubic root of 51871820 is about 372.9441753407.

It can be divided in two parts, 5187 and 1820, that added together give a palindrome (7007).

The spelling of 51871820 in words is "fifty-one million, eight hundred seventy-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2591 2860 4004 5005 5182 10010 10364 12955 18137 20020 25910 28501 33683 36274 51820 57002 67366 72548 90685 114004 134732 142505 168415 181370 199507 235781 285010 336830 362740 370513 399014 471562 570020 673660 741026 798028 943124 997535 1178905 1482052 1852565 1995070 2357810 2593591 3705130 3990140 4715620 5187182 7410260 10374364 12967955 25935910 51871820