Search a number
-
+
4645848640 = 26583211829
BaseRepresentation
bin1000101001110101…
…00000011001000000
3102222202222120020011
410110322200121000
534003314124030
62045000354304
7223062030136
oct42472403100
912882876204
104645848640
111a74507934
12a97a75994
13590680c84
14321033756
151c2cecb2a
hex114ea0640

4645848640 has 112 divisors (see below), whose sum is σ = 11262847680. Its totient is φ = 1825044480.

The previous prime is 4645848629. The next prime is 4645848653. The reversal of 4645848640 is 468485464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5603746 + ... + 5604574.

It is an arithmetic number, because the mean of its divisors is an integer number (100561140).

Almost surely, 24645848640 is an apocalyptic number.

4645848640 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 4645848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631423840).

4645848640 is an abundant number, since it is smaller than the sum of its proper divisors (6616999040).

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

4645848640 is a wasteful number, since it uses less digits than its factorization.

4645848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 49.

The square root of 4645848640 is about 68160.4624397458. The cubic root of 4645848640 is about 1668.6106795179.

The spelling of 4645848640 in words is "four billion, six hundred forty-five million, eight hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 211 320 332 415 422 664 829 830 844 1055 1328 1658 1660 1688 2110 2656 3316 3320 3376 4145 4220 5312 6632 6640 6752 8290 8440 13264 13280 13504 16580 16880 17513 26528 26560 33160 33760 35026 53056 66320 67520 68807 70052 87565 132640 137614 140104 174919 175130 265280 275228 280208 344035 349838 350260 550456 560416 688070 699676 700520 874595 1100912 1120832 1376140 1399352 1401040 1749190 2201824 2752280 2798704 2802080 3498380 4403648 5504560 5597408 5604160 6996760 11009120 11194816 13993520 14518277 22018240 27987040 29036554 55974080 58073108 72591385 116146216 145182770 232292432 290365540 464584864 580731080 929169728 1161462160 2322924320 4645848640