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4148057052 = 22321731218641
BaseRepresentation
bin1111011100111110…
…0101001111011100
3101201002022010112200
43313033211033130
531443400311202
61523335131500
7204535621536
oct36717451734
911632263480
104148057052
111839519727
12979213b90
135114c0139
142b4c94856
1519426de1c
hexf73e53dc

4148057052 has 72 divisors (see below), whose sum is σ = 11460339072. Its totient is φ = 1259366400.

The previous prime is 4148056951. The next prime is 4148057057. The reversal of 4148057052 is 2507508414.

4148057052 is a `hidden beast` number, since 4 + 1 + 4 + 80 + 570 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4148056998 and 4148057016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148057057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90349 + ... + 128292.

It is an arithmetic number, because the mean of its divisors is an integer number (159171376).

Almost surely, 24148057052 is an apocalyptic number.

It is an amenable number.

4148057052 is an abundant number, since it is smaller than the sum of its proper divisors (7312282020).

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

4148057052 is a wasteful number, since it uses less digits than its factorization.

4148057052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218699 (or 218694 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4148057052 is about 64405.4116670331. The cubic root of 4148057052 is about 1606.7497475064.

The spelling of 4148057052 in words is "four billion, one hundred forty-eight million, fifty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 4743 6324 9486 18972 218641 437282 655923 874564 1311846 1967769 2623692 3716897 3935538 6777871 7433794 7871076 11150691 13555742 14867588 20333613 22301382 27111484 33452073 40667226 44602764 61000839 66904146 81334452 115223807 122001678 133808292 230447614 244003356 345671421 460895228 691342842 1037014263 1382685684 2074028526 4148057052