Search a number
-
+
3946394688 = 263172514817
BaseRepresentation
bin1110101100111001…
…0011010001000000
3101012000211121210020
43223032103101000
531040234112223
61451332533440
7166536541605
oct35316232100
911160747706
103946394688
111745700815
12921781280
134ab7a32b2
1429619c6ac
151816d71e3
hexeb393440

3946394688 has 112 divisors (see below), whose sum is σ = 11102059584. Its totient is φ = 1232896000.

The previous prime is 3946394687. The next prime is 3946394723. The reversal of 3946394688 is 8864936493.

It is not an unprimeable number, because it can be changed into a prime (3946394687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816856 + ... + 821672.

It is an arithmetic number, because the mean of its divisors is an integer number (99125532).

Almost surely, 23946394688 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 3946394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551029792).

3946394688 is an abundant number, since it is smaller than the sum of its proper divisors (7155664896).

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

3946394688 is a wasteful number, since it uses less digits than its factorization.

3946394688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5090 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 60.

The square root of 3946394688 is about 62820.3365798051. The cubic root of 3946394688 is about 1580.2780432541.

The spelling of 3946394688 in words is "three billion, nine hundred forty-six million, three hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 251 272 408 502 544 753 816 1004 1088 1506 1632 2008 3012 3264 4016 4267 4817 6024 8032 8534 9634 12048 12801 14451 16064 17068 19268 24096 25602 28902 34136 38536 48192 51204 57804 68272 77072 81889 102408 115608 136544 154144 163778 204816 231216 245667 273088 308288 327556 409632 462432 491334 655112 819264 924864 982668 1209067 1310224 1965336 2418134 2620448 3627201 3930672 4836268 5240896 7254402 7861344 9672536 14508804 15722688 19345072 20554139 29017608 38690144 41108278 58035216 61662417 77380288 82216556 116070432 123324834 164433112 232140864 246649668 328866224 493299336 657732448 986598672 1315464896 1973197344 3946394688