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5324214276 = 22321922291789
BaseRepresentation
bin1001111010101100…
…10001000000000100
3111202001110002221100
410331112101000010
541400444324101
62240152220100
7245640034413
oct47526210004
914661402840
105324214276
11229241aa97
12104709a630
1366b087064
1438717947a
15212649e86
hex13d591004

5324214276 has 108 divisors (see below), whose sum is σ = 14274050700. Its totient is φ = 1673053056.

The previous prime is 5324214263. The next prime is 5324214277. The reversal of 5324214276 is 6724124235.

5324214276 is a `hidden beast` number, since 532 + 42 + 14 + 2 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4995662400 + 328551876 = 70680^2 + 18126^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5324214276.

It is not an unprimeable number, because it can be changed into a prime (5324214277) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2975190 + ... + 2976978.

Almost surely, 25324214276 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 5324214276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137025350).

5324214276 is an abundant number, since it is smaller than the sum of its proper divisors (8949836424).

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

5324214276 is a wasteful number, since it uses less digits than its factorization.

5324214276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2042 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 5324214276 is about 72967.2137058830. The cubic root of 5324214276 is about 1746.1645826047.

The spelling of 5324214276 in words is "five billion, three hundred twenty-four million, two hundred fourteen thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 229 342 361 458 684 687 722 916 1083 1374 1444 1789 2061 2166 2748 3249 3578 4122 4332 4351 5367 6498 7156 8244 8702 10734 12996 13053 16101 17404 21468 26106 32202 33991 39159 52212 64404 67982 78318 82669 101973 135964 156636 165338 203946 248007 305919 330676 407892 409681 496014 611838 645829 744021 819362 992028 1223676 1229043 1291658 1488042 1638724 1937487 2458086 2583316 2976084 3687129 3874974 4916172 5812461 7374258 7749948 7783939 11624922 14748516 15567878 23249844 23351817 31135756 46703634 70055451 93407268 140110902 147894841 280221804 295789682 443684523 591579364 887369046 1331053569 1774738092 2662107138 5324214276