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2857463424 = 273212719531
BaseRepresentation
bin1010101001010001…
…0110111010000000
321101010211011220200
42222110112322000
521323002312144
61151313205200
7130545016104
oct25224267200
97333734820
102857463424
111236a66622
12678b60800
13366cc977a
141d1701904
1511acdac69
hexaa516e80

2857463424 has 96 divisors (see below), whose sum is σ = 8287818240. Its totient is φ = 944939520.

The previous prime is 2857463423. The next prime is 2857463507. The reversal of 2857463424 is 4243647582.

It is a happy number.

2857463424 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 4 + 634 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2857463424.

It is not an unprimeable number, because it can be changed into a prime (2857463423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136539 + ... + 156069.

It is an arithmetic number, because the mean of its divisors is an integer number (86331440).

Almost surely, 22857463424 is an apocalyptic number.

2857463424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2857463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143909120).

2857463424 is an abundant number, since it is smaller than the sum of its proper divisors (5430354816).

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

2857463424 is a wasteful number, since it uses less digits than its factorization.

2857463424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19678 (or 19663 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 2857463424 is about 53455.2469267517. The cubic root of 2857463424 is about 1419.0364792086.

The spelling of 2857463424 in words is "two billion, eight hundred fifty-seven million, four hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 288 381 384 508 576 762 1016 1143 1152 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 16256 18288 19531 24384 36576 39062 48768 58593 73152 78124 117186 146304 156248 175779 234372 312496 351558 468744 624992 703116 937488 1249984 1406232 1874976 2480437 2499968 2812464 3749952 4960874 5624928 7441311 7499904 9921748 11249856 14882622 19843496 22323933 22499712 29765244 39686992 44647866 59530488 79373984 89295732 119060976 158747968 178591464 238121952 317495936 357182928 476243904 714365856 952487808 1428731712 2857463424