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4198583052 = 223343190199
BaseRepresentation
bin1111101001000001…
…0100101100001100
3101211121101010012000
43322100110230030
532044314124202
61532342112300
7206021236626
oct37220245414
911747333160
104198583052
111864a99654
1299211b690
1351bb00a91
142bb887c16
151988ee91c
hexfa414b0c

4198583052 has 48 divisors (see below), whose sum is σ = 10910592000. Its totient is φ = 1396265040.

The previous prime is 4198583033. The next prime is 4198583063. The reversal of 4198583052 is 2503858914.

4198583052 is a `hidden beast` number, since 4 + 19 + 8 + 583 + 0 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4198582989 and 4198583007.

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, 1449 + ... + 91647.

It is an arithmetic number, because the mean of its divisors is an integer number (227304000).

Almost surely, 24198583052 is an apocalyptic number.

It is an amenable number.

4198583052 is an abundant number, since it is smaller than the sum of its proper divisors (6712008948).

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

4198583052 is a wasteful number, since it uses less digits than its factorization.

4198583052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90643 (or 90635 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 4198583052 is about 64796.4740707394. The cubic root of 4198583052 is about 1613.2471855775.

The spelling of 4198583052 in words is "four billion, one hundred ninety-eight million, five hundred eighty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 431 862 1293 1724 2586 3879 5172 7758 11637 15516 23274 46548 90199 180398 270597 360796 541194 811791 1082388 1623582 2435373 3247164 4870746 9741492 38875769 77751538 116627307 155503076 233254614 349881921 466509228 699763842 1049645763 1399527684 2099291526 4198583052