Search a number
-
+
764318052 = 223312315749
BaseRepresentation
bin101101100011101…
…001000101100100
31222021012101021000
4231203221011210
53031131134202
6203501553300
724640411341
oct5543510544
91867171230
10764318052
1136248a513
12193b75830
13c246b904
147371b7c8
154717991c
hex2d8e9164

764318052 has 48 divisors (see below), whose sum is σ = 1983520000. Its totient is φ = 254521440.

The previous prime is 764318041. The next prime is 764318063. The reversal of 764318052 is 250813467.

764318052 is a `hidden beast` number, since 7 + 643 + 1 + 8 + 0 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (764318041) and next prime (764318063).

It is a super-2 number, since 2×7643180522 = 1168364169226149408, which contains 22 as substring.

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 = 764317998 and 764318016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130074 + ... + 135822.

Almost surely, 2764318052 is an apocalyptic number.

It is an amenable number.

764318052 is an abundant number, since it is smaller than the sum of its proper divisors (1219201948).

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

764318052 is a wasteful number, since it uses less digits than its factorization.

764318052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 764318052 is about 27646.3026822756. The cubic root of 764318052 is about 914.3055843849.

The spelling of 764318052 in words is "seven hundred sixty-four million, three hundred eighteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1231 2462 3693 4924 5749 7386 11079 11498 14772 17247 22158 22996 33237 34494 44316 51741 66474 68988 103482 132948 155223 206964 310446 620892 7077019 14154038 21231057 28308076 42462114 63693171 84924228 127386342 191079513 254772684 382159026 764318052