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4045224656 = 2411414313037
BaseRepresentation
bin1111000100011101…
…0011101011010000
3101102220210201000102
43301013103223100
531241034142111
61505223111532
7202146561614
oct36107235320
911386721012
104045224656
111796473180
1294a8a25a8
134c60c7375
142a5367344
1518a20a13b
hexf11d3ad0

4045224656 has 80 divisors (see below), whose sum is σ = 8963051328. Its totient is φ = 1752038400.

The previous prime is 4045224649. The next prime is 4045224661. The reversal of 4045224656 is 6564225404.

4045224656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 303770 + ... + 316806.

Almost surely, 24045224656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4045224656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481525664).

4045224656 is an abundant number, since it is smaller than the sum of its proper divisors (4917826672).

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

4045224656 is a wasteful number, since it uses less digits than its factorization.

4045224656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13140 (or 13134 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The square root of 4045224656 is about 63602.0805948988. The cubic root of 4045224656 is about 1593.3611184657.

The spelling of 4045224656 in words is "four billion, forty-five million, two hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 41 43 44 82 86 88 164 172 176 328 344 451 473 656 688 902 946 1763 1804 1892 3526 3608 3784 7052 7216 7568 13037 14104 19393 26074 28208 38786 52148 77572 104296 143407 155144 208592 286814 310288 534517 560591 573628 1069034 1121182 1147256 2138068 2242364 2294512 4276136 4484728 5879687 6166501 8552272 8969456 11759374 12333002 22984231 23518748 24666004 45968462 47037496 49332008 91936924 94074992 98664016 183873848 252826541 367747696 505653082 1011306164 2022612328 4045224656