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51255880 = 23513241409
BaseRepresentation
bin1100001110000…
…1101001001000
310120110001211221
43003201221020
5101110142010
65030331424
71161445024
oct303415110
9116401757
1051255880
1126a29335
12151b9b74
13a807c30
146b43384
154776dda
hex30e1a48

51255880 has 64 divisors (see below), whose sum is σ = 125017200. Its totient is φ = 18800640.

The previous prime is 51255877. The next prime is 51255887. The reversal of 51255880 is 8855215.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 31203396 + 20052484 = 5586^2 + 4478^2 .

It is not an unprimeable number, because it can be changed into a prime (51255887) 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, 125116 + ... + 125524.

Almost surely, 251255880 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 51255880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62508600).

51255880 is an abundant number, since it is smaller than the sum of its proper divisors (73761320).

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

51255880 is a wasteful number, since it uses less digits than its factorization.

51255880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 34.

The square root of 51255880 is about 7159.3211968733. The cubic root of 51255880 is about 371.4621471479.

The spelling of 51255880 in words is "fifty-one million, two hundred fifty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 241 260 409 482 520 818 964 1205 1636 1928 2045 2410 3133 3272 4090 4820 5317 6266 8180 9640 10634 12532 15665 16360 21268 25064 26585 31330 42536 53170 62660 98569 106340 125320 197138 212680 394276 492845 788552 985690 1281397 1971380 2562794 3942760 5125588 6406985 10251176 12813970 25627940 51255880