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4290432016 = 241383257967
BaseRepresentation
bin1111111110111010…
…1100110000010000
3102002000012112021111
43333232230300100
532241322311031
61545422503104
7211215033103
oct37756546020
912060175244
104290432016
111901923092
129b8a34a94
13534b4c490
142c9b5673a
151a19e41b1
hexffbacc10

4290432016 has 80 divisors (see below), whose sum is σ = 9104667264. Its totient is φ = 1946714112.

The previous prime is 4290431987. The next prime is 4290432053. The reversal of 4290432016 is 6102340924.

It is a happy number.

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, 4436365 + ... + 4437331.

Almost surely, 24290432016 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 4290432016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552333632).

4290432016 is an abundant number, since it is smaller than the sum of its proper divisors (4814235248).

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

4290432016 is a wasteful number, since it uses less digits than its factorization.

4290432016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 4290432016 is about 65501.3894203779. The cubic root of 4290432016 is about 1624.9263260957.

The spelling of 4290432016 in words is "four billion, two hundred ninety million, four hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 83 104 166 208 257 332 514 664 967 1028 1079 1328 1934 2056 2158 3341 3868 4112 4316 6682 7736 8632 12571 13364 15472 17264 21331 25142 26728 42662 50284 53456 80261 85324 100568 160522 170648 201136 248519 277303 321044 341296 497038 554606 642088 994076 1043393 1109212 1284176 1988152 2086786 2218424 3230747 3976304 4173572 4436848 6461494 8347144 12922988 16694288 20627077 25845976 41254154 51691952 82508308 165016616 268152001 330033232 536304002 1072608004 2145216008 4290432016