Search a number
-
+
51402816 = 2633151197
BaseRepresentation
bin1100010000010…
…1100001000000
310120201112102000
43010011201000
5101124342231
65033424000
71162626303
oct304054100
9116645360
1051402816
1127019773
121526b000
13a859a8a
146b80b3a
1547a56e6
hex3105840

51402816 has 112 divisors (see below), whose sum is σ = 152887680. Its totient is φ = 16934400.

The previous prime is 51402803. The next prime is 51402821. The reversal of 51402816 is 61820415.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 51402816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260830 + ... + 261026.

Almost surely, 251402816 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 51402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76443840).

51402816 is an abundant number, since it is smaller than the sum of its proper divisors (101484864).

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

51402816 is a wasteful number, since it uses less digits than its factorization.

51402816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51402816 is about 7169.5757196643. The cubic root of 51402816 is about 371.8167672016.

The spelling of 51402816 in words is "fifty-one million, four hundred two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 151 192 197 216 288 302 394 432 453 576 591 604 788 864 906 1182 1208 1359 1576 1728 1773 1812 2364 2416 2718 3152 3546 3624 4077 4728 4832 5319 5436 6304 7092 7248 8154 9456 9664 10638 10872 12608 14184 14496 16308 18912 21276 21744 28368 28992 29747 32616 37824 42552 43488 56736 59494 65232 85104 86976 89241 113472 118988 130464 170208 178482 237976 260928 267723 340416 356964 475952 535446 713928 803169 951904 1070892 1427856 1606338 1903808 2141784 2855712 3212676 4283568 5711424 6425352 8567136 12850704 17134272 25701408 51402816