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4768679304 = 233426772749
BaseRepresentation
bin1000111000011110…
…00100010110001000
3110022100010000020000
410130033010112020
534231240214204
62105105203000
7226113051054
oct43417042610
913270100200
104768679304
112027882384
12b11030460
135acc5943c
14333488c64
151cd9b2039
hex11c3c4588

4768679304 has 80 divisors (see below), whose sum is σ = 13366567500. Its totient is φ = 1588387968.

The previous prime is 4768679303. The next prime is 4768679323. The reversal of 4768679304 is 4039768674.

It is a happy number.

4768679304 is a `hidden beast` number, since 476 + 86 + 7 + 93 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3504876804 + 1263802500 = 59202^2 + 35550^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4768679303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1733322 + ... + 1736070.

Almost surely, 24768679304 is an apocalyptic number.

It is an amenable number.

4768679304 is an abundant number, since it is smaller than the sum of its proper divisors (8597888196).

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

4768679304 is a wasteful number, since it uses less digits than its factorization.

4768679304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 4768679304 is about 69055.6247093602. The cubic root of 4768679304 is about 1683.1883076400.

The spelling of 4768679304 in words is "four billion, seven hundred sixty-eight million, six hundred seventy-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2677 2749 5354 5498 8031 8247 10708 10996 16062 16494 21416 21992 24093 24741 32124 32988 48186 49482 64248 65976 72279 74223 96372 98964 144558 148446 192744 197928 216837 222669 289116 296892 433674 445338 578232 593784 867348 890676 1734696 1781352 7359073 14718146 22077219 29436292 44154438 58872584 66231657 88308876 132463314 176617752 198694971 264926628 397389942 529853256 596084913 794779884 1192169826 1589559768 2384339652 4768679304