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51220456 = 23717173311
BaseRepresentation
bin1100001101100…
…0111111101000
310120101021020221
43003120333220
5101103023311
65025455424
71161236530
oct303307750
9116337227
1051220456
1126a04761
12151a1574
13a7c4a81
146b344c0
15476b671
hex30d8fe8

51220456 has 64 divisors (see below), whose sum is σ = 117262080. Its totient is φ = 20474880.

The previous prime is 51220427. The next prime is 51220457. The reversal of 51220456 is 65402215.

It is a super-2 number, since 2×512204562 = 5247070225695872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51220456.

It is not an unprimeable number, because it can be changed into a prime (51220457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164541 + ... + 164851.

It is an arithmetic number, because the mean of its divisors is an integer number (1832220).

Almost surely, 251220456 is an apocalyptic number.

51220456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51220456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58631040).

51220456 is an abundant number, since it is smaller than the sum of its proper divisors (66041624).

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

51220456 is a wasteful number, since it uses less digits than its factorization.

51220456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 51220456 is about 7156.8467917093. The cubic root of 51220456 is about 371.3765523656.

The spelling of 51220456 in words is "fifty-one million, two hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 173 238 311 346 476 622 692 952 1211 1244 1384 2177 2422 2488 2941 4354 4844 5287 5882 8708 9688 10574 11764 17416 20587 21148 23528 37009 41174 42296 53803 74018 82348 107606 148036 164696 215212 296072 376621 430424 753242 914651 1506484 1829302 3012968 3658604 6402557 7317208 12805114 25610228 51220456