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4690580448 = 2534710310093
BaseRepresentation
bin1000101111001010…
…01001001111100000
3110002220011011201210
410113211021033200
534101242033243
62053235230120
7224144163441
oct42745111740
913086134653
104690580448
111a9778a574
12aaaa48340
13599a134b8
14326d592c8
151c6bd6933
hex1179493e0

4690580448 has 96 divisors (see below), whose sum is σ = 12698090496. Its totient is φ = 1515253248.

The previous prime is 4690580443. The next prime is 4690580467. The reversal of 4690580448 is 8440850964.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 4690580397 and 4690580406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4690580443) 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, 459690 + ... + 469782.

It is an arithmetic number, because the mean of its divisors is an integer number (132271776).

Almost surely, 24690580448 is an apocalyptic number.

4690580448 is a gapful number since it is divisible by the number (48) 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 4690580448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349045248).

4690580448 is an abundant number, since it is smaller than the sum of its proper divisors (8007510048).

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

4690580448 is a wasteful number, since it uses less digits than its factorization.

4690580448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 4690580448 is about 68487.8124048359. The cubic root of 4690580448 is about 1673.9488999759.

The spelling of 4690580448 in words is "four billion, six hundred ninety million, five hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 103 141 188 206 282 309 376 412 564 618 752 824 1128 1236 1504 1648 2256 2472 3296 4512 4841 4944 9682 9888 10093 14523 19364 20186 29046 30279 38728 40372 58092 60558 77456 80744 116184 121116 154912 161488 232368 242232 322976 464736 474371 484464 948742 968928 1039579 1423113 1897484 2079158 2846226 3118737 3794968 4158316 5692452 6237474 7589936 8316632 11384904 12474948 15179872 16633264 22769808 24949896 33266528 45539616 48860213 49899792 97720426 99799584 146580639 195440852 293161278 390881704 586322556 781763408 1172645112 1563526816 2345290224 4690580448