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4282548816 = 2437133131627
BaseRepresentation
bin1111111101000010…
…1000001001010000
3102001110101000120010
43333100220021100
532232313030231
61544541514520
7211061031030
oct37720501120
912043330503
104282548816
1118a8429347
129b6272a40
1353331c270
142c8aa38c0
151a0e88546
hexff428250

4282548816 has 160 divisors (see below), whose sum is σ = 14055989248. Its totient is φ = 1092994560.

The previous prime is 4282548799. The next prime is 4282548821. The reversal of 4282548816 is 6188452824.

It is a super-2 number, since 2×42825488162 = 36680448722846003712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119595 + ... + 151221.

Almost surely, 24282548816 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 4282548816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027994624).

4282548816 is an abundant number, since it is smaller than the sum of its proper divisors (9773440432).

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

4282548816 is a wasteful number, since it uses less digits than its factorization.

4282548816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31689 (or 31683 counting only the distinct ones).

The product of its digits is 983040, while the sum is 48.

The square root of 4282548816 is about 65441.1859305743. The cubic root of 4282548816 is about 1623.9305077563.

The spelling of 4282548816 in words is "four billion, two hundred eighty-two million, five hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4836 5208 5642 6448 8463 9672 10416 11284 16926 19344 22568 31627 33852 45136 63254 67704 94881 126508 135408 189762 221389 253016 379524 411151 442778 506032 664167 759048 822302 885556 980437 1233453 1328334 1518096 1644604 1771112 1960874 2466906 2656668 2878057 2941311 3289208 3542224 3921748 4933812 5313336 5756114 5882622 6578416 6863059 7843496 8634171 9867624 10626672 11512228 11765244 12745681 13726118 15686992 17268342 19735248 20589177 23024456 23530488 25491362 27452236 34536684 38237043 41178354 46048912 47060976 50982724 54904472 69073368 76474086 82356708 89219767 101965448 109808944 138146736 152948172 164713416 178439534 203930896 267659301 305896344 329426832 356879068 535318602 611792688 713758136 1070637204 1427516272 2141274408 4282548816