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51690816 = 2632432087
BaseRepresentation
bin1100010100101…
…1110101000000
310121021011110200
43011023311000
5101213101231
65043525200
71165236042
oct305136500
9117234420
1051690816
11271a6091
1215389800
13a92aba8
146c17a92
154810be6
hex314bd40

51690816 has 84 divisors (see below), whose sum is σ = 151680672. Its totient is φ = 16821504.

The previous prime is 51690797. The next prime is 51690839. The reversal of 51690816 is 61809615.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23725 + ... + 25811.

Almost surely, 251690816 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 51690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75840336).

51690816 is an abundant number, since it is smaller than the sum of its proper divisors (99989856).

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

51690816 is a wasteful number, since it uses less digits than its factorization.

51690816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 51690816 is about 7189.6325358115. The cubic root of 51690816 is about 372.5098800737.

The spelling of 51690816 in words is "fifty-one million, six hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2087 2752 3096 4128 4174 6192 6261 8256 8348 12384 12522 16696 18783 24768 25044 33392 37566 50088 66784 75132 89741 100176 133568 150264 179482 200352 269223 300528 358964 400704 538446 601056 717928 807669 1076892 1202112 1435856 1615338 2153784 2871712 3230676 4307568 5743424 6461352 8615136 12922704 17230272 25845408 51690816