Search a number
-
+
52797240 = 23325178627
BaseRepresentation
bin1100100101100…
…1111100111000
310200100101012100
43021121330320
5102004002430
65123343400
71210524546
oct311317470
9120311170
1052797240
1127891391
1215821b60
13ac27692
147024d96
15497d960
hex3259f38

52797240 has 96 divisors (see below), whose sum is σ = 181705680. Its totient is φ = 13249536.

The previous prime is 52797229. The next prime is 52797253. The reversal of 52797240 is 4279725.

52797240 is a `hidden beast` number, since 527 + 97 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52797195 and 52797204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1807 + ... + 10433.

Almost surely, 252797240 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 52797240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90852840).

52797240 is an abundant number, since it is smaller than the sum of its proper divisors (128908440).

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

52797240 is a wasteful number, since it uses less digits than its factorization.

52797240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661 (or 8654 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 52797240 is about 7266.1709311026. The cubic root of 52797240 is about 375.1489541593.

The spelling of 52797240 in words is "fifty-two million, seven hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 8627 17254 25881 34508 43135 51762 69016 77643 86270 103524 129405 146659 155286 172540 207048 258810 293318 310572 345080 388215 439977 517620 586636 621144 733295 776430 879954 1035240 1173272 1319931 1466590 1552860 1759908 2199885 2639862 2933180 3105720 3519816 4399770 5279724 5866360 6599655 8799540 10559448 13199310 17599080 26398620 52797240