Search a number
-
+
534875904 = 2832832797
BaseRepresentation
bin11111111000011…
…000111100000000
31101021110111210200
4133320120330000
52043412012104
6125024125200
716153240653
oct3770307400
91337414720
10534875904
11254a18202
1212b166800
1386a76524
145107389a
1531e56b39
hex1fe18f00

534875904 has 108 divisors (see below), whose sum is σ = 1561317576. Its totient is φ = 176080896.

The previous prime is 534875903. The next prime is 534875909. The reversal of 534875904 is 409578435.

534875904 is a `hidden beast` number, since 53 + 4 + 8 + 7 + 590 + 4 = 666.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 534875904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534875903) 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, 189834 + ... + 192630.

Almost surely, 2534875904 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 534875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780658788).

534875904 is an abundant number, since it is smaller than the sum of its proper divisors (1026441672).

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

534875904 is a wasteful number, since it uses less digits than its factorization.

534875904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 534875904 is about 23127.3842878956. The cubic root of 534875904 is about 811.7413656954.

The spelling of 534875904 in words is "five hundred thirty-four million, eight hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 576 664 747 768 996 1152 1328 1494 1992 2304 2656 2797 2988 3984 5312 5594 5976 7968 8391 10624 11188 11952 15936 16782 21248 22376 23904 25173 31872 33564 44752 47808 50346 63744 67128 89504 95616 100692 134256 179008 191232 201384 232151 268512 358016 402768 464302 537024 696453 716032 805536 928604 1074048 1392906 1611072 1857208 2089359 2148096 2785812 3222144 3714416 4178718 5571624 6444288 7428832 8357436 11143248 14857664 16714872 22286496 29715328 33429744 44572992 59430656 66859488 89145984 133718976 178291968 267437952 534875904