Search a number
-
+
5295845376 = 21232197561
BaseRepresentation
bin1001110111010100…
…00011000000000000
3111200002001211010100
410323222003000000
541321214023001
62233300202400
7245143641303
oct47352030000
914602054110
105295845376
112278404018
121039699400
13665233623
143834b2b3a
1520ede4586
hex13ba83000

5295845376 has 156 divisors (see below), whose sum is σ = 16104488920. Its totient is φ = 1672151040.

The previous prime is 5295845339. The next prime is 5295845377. The reversal of 5295845376 is 6735485925.

5295845376 is a `hidden beast` number, since 5 + 2 + 9 + 584 + 53 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5295845377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 696636 + ... + 704196.

Almost surely, 25295845376 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 5295845376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052244460).

5295845376 is an abundant number, since it is smaller than the sum of its proper divisors (10808643544).

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

5295845376 is a wasteful number, since it uses less digits than its factorization.

5295845376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610 (or 7585 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 5295845376 is about 72772.5592239273. The cubic root of 5295845376 is about 1743.0577071652.

The spelling of 5295845376 in words is "five billion, two hundred ninety-five million, eight hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4096 4608 4864 5472 6144 7296 7561 9216 9728 10944 12288 14592 15122 18432 19456 21888 22683 29184 30244 36864 38912 43776 45366 58368 60488 68049 77824 87552 90732 116736 120976 136098 143659 175104 181464 233472 241952 272196 287318 350208 362928 430977 483904 544392 574636 700416 725856 861954 967808 1088784 1149272 1292931 1451712 1723908 1935616 2177568 2298544 2585862 2903424 3447816 3871232 4355136 4597088 5171724 5806848 6895632 7742464 8710272 9194176 10343448 11613696 13791264 15484928 17420544 18388352 20686896 23227392 27582528 30969856 34841088 36776704 41373792 46454784 55165056 69682176 73553408 82747584 92909568 110330112 139364352 147106816 165495168 220660224 278728704 294213632 330990336 441320448 588427264 661980672 882640896 1323961344 1765281792 2647922688 5295845376