Search a number
-
+
4656994080 = 253527135801
BaseRepresentation
bin1000101011001010…
…00001011100100000
3110000112221210220020
410111211001130200
534014142302310
62050035313440
7223255540134
oct42545013440
913015853806
104656994080
111a7a82a642
12a9b74b880
13592a83ccb
143226d53c4
151c3ca0170
hex115941720

4656994080 has 96 divisors (see below), whose sum is σ = 14724073728. Its totient is φ = 1237248000.

The previous prime is 4656994073. The next prime is 4656994099. The reversal of 4656994080 is 804996564.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×46569940802 = 43375187722310092800, 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, 112180 + ... + 147980.

It is an arithmetic number, because the mean of its divisors is an integer number (153375768).

Almost surely, 24656994080 is an apocalyptic number.

4656994080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362036864).

4656994080 is an abundant number, since it is smaller than the sum of its proper divisors (10067079648).

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

4656994080 is a wasteful number, since it uses less digits than its factorization.

4656994080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36090 (or 36082 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 4656994080 is about 68242.1722983669. The cubic root of 4656994080 is about 1669.9439521271.

The spelling of 4656994080 in words is "four billion, six hundred fifty-six million, nine hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 271 480 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 8672 10840 13008 16260 21680 26016 32520 35801 43360 65040 71602 107403 130080 143204 179005 214806 286408 358010 429612 537015 572816 716020 859224 1074030 1145632 1432040 1718448 2148060 2864080 3436896 4296120 5728160 8592240 9702071 17184480 19404142 29106213 38808284 48510355 58212426 77616568 97020710 116424852 145531065 155233136 194041420 232849704 291062130 310466272 388082840 465699408 582124260 776165680 931398816 1164248520 1552331360 2328497040 4656994080