Search a number
-
+
4466198640 = 243579235559
BaseRepresentation
bin1000010100011010…
…01100100001110000
3102112020221101202110
410022031030201300
533121321324030
62015102045320
7215451030201
oct41215144160
912466841673
104466198640
111992064162
12a47879840
135623a04b7
1430522b5a8
151b21631b0
hex10a34c870

4466198640 has 80 divisors (see below), whose sum is σ = 14020531200. Its totient is φ = 1175905536.

The previous prime is 4466198629. The next prime is 4466198651. The reversal of 4466198640 is 468916644.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4466198629) and next prime (4466198651).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4466198640.

It is a congruent number.

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, 98820 + ... + 136739.

It is an arithmetic number, because the mean of its divisors is an integer number (175256640).

Almost surely, 24466198640 is an apocalyptic number.

4466198640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4466198640 is an abundant number, since it is smaller than the sum of its proper divisors (9554332560).

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

4466198640 is a wasteful number, since it uses less digits than its factorization.

4466198640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235654 (or 235648 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 4466198640 is about 66829.6239702125. The cubic root of 4466198640 is about 1646.8195410274.

The spelling of 4466198640 in words is "four billion, four hundred sixty-six million, one hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 235559 471118 706677 942236 1177795 1413354 1884472 2355590 2826708 3533385 3768944 4711180 5653416 7066770 9422360 11306832 14133540 18609161 18844720 28267080 37218322 55827483 56534160 74436644 93045805 111654966 148873288 186091610 223309932 279137415 297746576 372183220 446619864 558274830 744366440 893239728 1116549660 1488732880 2233099320 4466198640