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4684290464 = 25731798539
BaseRepresentation
bin1000101110011010…
…01001100110100000
3110002110022121111102
410113031021212200
534043134243324
62052452333532
7224036545340
oct42715114640
913073277442
104684290464
111a94183837
12aa89142a8
13598620509
1432619cd20
151c6392dae
hex1173499a0

4684290464 has 96 divisors (see below), whose sum is σ = 11018649600. Its totient is φ = 1917976320.

The previous prime is 4684290451. The next prime is 4684290473. The reversal of 4684290464 is 4640924864.

It is a super-2 number, since 2×46842904642 = 43885154302242670592, which contains 22 as substring.

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, 544307 + ... + 552845.

It is an arithmetic number, because the mean of its divisors is an integer number (114777600).

Almost surely, 24684290464 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 4684290464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509324800).

4684290464 is an abundant number, since it is smaller than the sum of its proper divisors (6334359136).

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

4684290464 is a wasteful number, since it uses less digits than its factorization.

4684290464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8666 (or 8658 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 47.

The square root of 4684290464 is about 68441.8765376871. The cubic root of 4684290464 is about 1673.2003201449.

The spelling of 4684290464 in words is "four billion, six hundred eighty-four million, two hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 79 112 124 158 217 224 248 316 434 496 553 632 868 992 1106 1264 1736 2212 2449 2528 3472 4424 4898 6944 8539 8848 9796 17078 17143 17696 19592 34156 34286 39184 59773 68312 68572 78368 119546 136624 137144 239092 264709 273248 274288 478184 529418 548576 674581 956368 1058836 1349162 1852963 1912736 2117672 2698324 3705926 4235344 4722067 5396648 7411852 8470688 9444134 10793296 14823704 18888268 20912011 21586592 29647408 37776536 41824022 59294816 75553072 83648044 146384077 151106144 167296088 292768154 334592176 585536308 669184352 1171072616 2342145232 4684290464