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51630216 = 23311223773
BaseRepresentation
bin1100010011110…
…1000010001000
310121011002100020
43010331002020
5101204131331
65042340440
71164564261
oct304750210
9117132306
1051630216
1127164600
121535a720
13a909431
146bdd968
1547ecc96
hex313d088

51630216 has 96 divisors (see below), whose sum is σ = 148236480. Its totient is φ = 14945920.

The previous prime is 51630211. The next prime is 51630253. The reversal of 51630216 is 61203615.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51630211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66406 + ... + 67178.

It is an arithmetic number, because the mean of its divisors is an integer number (1544130).

Almost surely, 251630216 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 51630216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74118240).

51630216 is an abundant number, since it is smaller than the sum of its proper divisors (96606264).

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

51630216 is a wasteful number, since it uses less digits than its factorization.

51630216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 51630216 is about 7185.4168981347. The cubic root of 51630216 is about 372.3642518438.

The spelling of 51630216 in words is "fifty-one million, six hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 121 132 138 184 242 253 264 276 363 484 506 552 726 759 773 968 1012 1452 1518 1546 2024 2319 2783 2904 3036 3092 4638 5566 6072 6184 8349 8503 9276 11132 16698 17006 17779 18552 22264 25509 33396 34012 35558 51018 53337 66792 68024 71116 93533 102036 106674 142232 187066 195569 204072 213348 280599 374132 391138 426696 561198 586707 748264 782276 1122396 1173414 1564552 2151259 2244792 2346828 4302518 4693656 6453777 8605036 12907554 17210072 25815108 51630216