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51125280 = 2535432477
BaseRepresentation
bin1100001100000…
…1110000100000
310120012102200220
43003001300200
5101042002110
65023443040
71160362203
oct303016040
9116172626
1051125280
112694a1a8
1215156480
13a79065b
146b0b93a
15474d370
hex30c1c20

51125280 has 96 divisors (see below), whose sum is σ = 164856384. Its totient is φ = 13310976.

The previous prime is 51125279. The next prime is 51125299. The reversal of 51125280 is 8252115.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×511252802 = 5227588510156800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51125280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19402 + ... + 21878.

It is an arithmetic number, because the mean of its divisors is an integer number (1717254).

Almost surely, 251125280 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 51125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82428192).

51125280 is an abundant number, since it is smaller than the sum of its proper divisors (113731104).

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

51125280 is a wasteful number, since it uses less digits than its factorization.

51125280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 51125280 is about 7150.1944029516. The cubic root of 51125280 is about 371.1463835808.

Adding to 51125280 its reverse (8252115), we get a palindrome (59377395).

The spelling of 51125280 in words is "fifty-one million, one hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2477 2580 3440 4128 4954 5160 6880 7431 9908 10320 12385 14862 19816 20640 24770 29724 37155 39632 49540 59448 74310 79264 99080 106511 118896 148620 198160 213022 237792 297240 319533 396320 426044 532555 594480 639066 852088 1065110 1188960 1278132 1597665 1704176 2130220 2556264 3195330 3408352 4260440 5112528 6390660 8520880 10225056 12781320 17041760 25562640 51125280