Search a number
-
+
51200040 = 23351313257
BaseRepresentation
bin1100001101010…
…0000000101000
310120100020020210
43003110000220
5101101400130
65025221120
71161123153
oct303240050
9116306223
1051200040
11269a0391
12151917a0
13a7b86a8
146b2ac9a
1547655b0
hex30d4028

51200040 has 64 divisors (see below), whose sum is σ = 154820160. Its totient is φ = 13544960.

The previous prime is 51200027. The next prime is 51200053. The reversal of 51200040 is 4000215.

It is an interprime number because it is at equal distance from previous prime (51200027) and next prime (51200053).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 51199989 and 51200025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14092 + ... + 17348.

It is an arithmetic number, because the mean of its divisors is an integer number (2419065).

Almost surely, 251200040 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 51200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77410080).

51200040 is an abundant number, since it is smaller than the sum of its proper divisors (103620120).

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

51200040 is a wasteful number, since it uses less digits than its factorization.

51200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 51200040 is about 7155.4203230838. The cubic root of 51200040 is about 371.3272033888.

Adding to 51200040 its reverse (4000215), we get a palindrome (55200255).

The spelling of 51200040 in words is "fifty-one million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3257 3930 5240 6514 7860 9771 13028 15720 16285 19542 26056 32570 39084 48855 65140 78168 97710 130280 195420 390840 426667 853334 1280001 1706668 2133335 2560002 3413336 4266670 5120004 6400005 8533340 10240008 12800010 17066680 25600020 51200040