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2425463424 = 273219310909
BaseRepresentation
bin1001000010010001…
…1010001010000000
320021000221022022200
42100210122022000
514431404312144
61040402033200
7114051045636
oct22044321200
96230838280
102425463424
11103512462a
12578348800
132c8662a77
141901ab356
15e2e05c69
hex9091a280

2425463424 has 96 divisors (see below), whose sum is σ = 7016330100. Its totient is φ = 804225024.

The previous prime is 2425463371. The next prime is 2425463431. The reversal of 2425463424 is 4243645242.

It can be written as a sum of positive squares in 2 ways, for example, as 2246760000 + 178703424 = 47400^2 + 13368^2 .

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

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

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, 216882 + ... + 227790.

Almost surely, 22425463424 is an apocalyptic number.

2425463424 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 2425463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508165050).

2425463424 is an abundant number, since it is smaller than the sum of its proper divisors (4590866676).

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

2425463424 is a wasteful number, since it uses less digits than its factorization.

2425463424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122 (or 11107 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 2425463424 is about 49248.9941420127. The cubic root of 2425463424 is about 1343.5842676755.

It can be divided in two parts, 24254 and 63424, that added together give a palindrome (87678).

The spelling of 2425463424 in words is "two billion, four hundred twenty-five 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 96 128 144 192 193 288 384 386 576 579 772 1152 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 10909 12352 13896 18528 21818 24704 27792 32727 37056 43636 55584 65454 74112 87272 98181 111168 130908 174544 196362 222336 261816 349088 392724 523632 698176 785448 1047264 1396352 1570896 2094528 2105437 3141792 4189056 4210874 6283584 6316311 8421748 12567168 12632622 16843496 18948933 25265244 33686992 37897866 50530488 67373984 75795732 101060976 134747968 151591464 202121952 269495936 303182928 404243904 606365856 808487808 1212731712 2425463424