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4254492960 = 253252954509
BaseRepresentation
bin1111110110010110…
…0110100100100000
3101222111120122011100
43331211212210200
532203122233320
61542100314400
7210300410364
oct37545464440
911874518140
104254492960
111893606593
129a89a2a00
1352a578173
142c507d2a4
1519d795790
hexfd966920

4254492960 has 72 divisors (see below), whose sum is σ = 14518462140. Its totient is φ = 1134531072.

The previous prime is 4254492959. The next prime is 4254492973. The reversal of 4254492960 is 692944524.

4254492960 is a `hidden beast` number, since 42 + 544 + 9 + 2 + 9 + 60 = 666.

4254492960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4234885776 + 19607184 = 65076^2 + 4428^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1475815 + ... + 1478694.

Almost surely, 24254492960 is an apocalyptic number.

4254492960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4254492960 is an abundant number, since it is smaller than the sum of its proper divisors (10263969180).

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

4254492960 is a wasteful number, since it uses less digits than its factorization.

4254492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954530 (or 2954519 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4254492960 is about 65226.4743796566. The cubic root of 4254492960 is about 1620.3765014258.

The spelling of 4254492960 in words is "four billion, two hundred fifty-four million, four hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2954509 5909018 8863527 11818036 14772545 17727054 23636072 26590581 29545090 35454108 44317635 47272144 53181162 59090180 70908216 88635270 94544288 106362324 118180360 132952905 141816432 177270540 212724648 236360720 265905810 283632864 354541080 425449296 472721440 531811620 709082160 850898592 1063623240 1418164320 2127246480 4254492960