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51375520 = 255726553
BaseRepresentation
bin1100001111111…
…0110110100000
310120200010222001
43003332312200
5101123004040
65033053344
71162453600
oct303766640
9116603861
1051375520
1127000209
1215257254
13a84a521
146b74c00
15479c59a
hex30feda0

51375520 has 72 divisors (see below), whose sum is σ = 141212484. Its totient is φ = 17611776.

The previous prime is 51375469. The next prime is 51375521. The reversal of 51375520 is 2557315.

It can be written as a sum of positive squares in 2 ways, for example, as 50183056 + 1192464 = 7084^2 + 1092^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (51375521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4564 + ... + 11116.

Almost surely, 251375520 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 51375520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70606242).

51375520 is an abundant number, since it is smaller than the sum of its proper divisors (89836964).

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

51375520 is a wasteful number, since it uses less digits than its factorization.

51375520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6567 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 51375520 is about 7167.6718674895. The cubic root of 51375520 is about 371.7509413172.

The spelling of 51375520 in words is "fifty-one million, three hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 6553 7840 13106 26212 32765 45871 52424 65530 91742 104848 131060 183484 209696 229355 262120 321097 366968 458710 524240 642194 733936 917420 1048480 1284388 1467872 1605485 1834840 2568776 3210970 3669680 5137552 6421940 7339360 10275104 12843880 25687760 51375520