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2023024896 = 283497561
BaseRepresentation
bin111100010010100…
…1110100100000000
312012222200022110000
41320211032210000
513120343244041
6532424240000
7101063266524
oct17045164400
95188608400
102023024896
11948a43602
12485610000
13263179569
1415296dd84
15bc90ebb6
hex7894e900

2023024896 has 90 divisors (see below), whose sum is σ = 6032356022. Its totient is φ = 674334720.

The previous prime is 2023024879. The next prime is 2023024907. The reversal of 2023024896 is 6984203202.

It can be written as a sum of positive squares in only one way, i.e., 1234538496 + 788486400 = 35136^2 + 28080^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2023024896.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28045 + ... + 69516.

Almost surely, 22023024896 is an apocalyptic number.

It is an amenable number.

2023024896 is an abundant number, since it is smaller than the sum of its proper divisors (4009331126).

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

2023024896 is an frugal number, since it uses more digits than its factorization.

2023024896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97589 (or 97566 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2023024896 is about 44978.0490461736. The cubic root of 2023024896 is about 1264.7375389078.

The spelling of 2023024896 in words is "two billion, twenty-three million, twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 97561 195122 292683 390244 585366 780488 878049 1170732 1560976 1756098 2341464 2634147 3121952 3512196 4682928 5268294 6243904 7024392 7902441 9365856 10536588 12487808 14048784 15804882 18731712 21073176 24975616 28097568 31609764 37463424 42146352 56195136 63219528 74926848 84292704 112390272 126439056 168585408 224780544 252878112 337170816 505756224 674341632 1011512448 2023024896