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56532450 = 23521353547
BaseRepresentation
bin1101011110100…
…1110111100010
310221101010221110
43113221313202
5103433014300
65335404150
71254342432
oct327516742
9127333843
1056532450
1129a02737
1216b23656
13b934870
1477182c2
154e6a550
hex35e9de2

56532450 has 96 divisors (see below), whose sum is σ = 154115136. Its totient is φ = 13628160.

The previous prime is 56532449. The next prime is 56532451. The reversal of 56532450 is 5423565.

It is an interprime number because it is at equal distance from previous prime (56532449) and next prime (56532451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56532451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103077 + ... + 103623.

It is an arithmetic number, because the mean of its divisors is an integer number (1605366).

Almost surely, 256532450 is an apocalyptic number.

56532450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56532450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77057568).

56532450 is an abundant number, since it is smaller than the sum of its proper divisors (97582686).

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

56532450 is a wasteful number, since it uses less digits than its factorization.

56532450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 56532450 is about 7518.8064212347. The cubic root of 56532450 is about 383.7949616104.

The spelling of 56532450 in words is "fifty-six million, five hundred thirty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 53 65 75 78 106 130 150 159 195 265 318 325 390 530 547 650 689 795 975 1094 1325 1378 1590 1641 1950 2067 2650 2735 3282 3445 3975 4134 5470 6890 7111 7950 8205 10335 13675 14222 16410 17225 20670 21333 27350 28991 34450 35555 41025 42666 51675 57982 71110 82050 86973 103350 106665 144955 173946 177775 213330 289910 355550 376883 434865 533325 724775 753766 869730 1066650 1130649 1449550 1884415 2174325 2261298 3768830 4348650 5653245 9422075 11306490 18844150 28266225 56532450