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2594435424 = 25377154377
BaseRepresentation
bin1001101010100011…
…1111000101100000
320200210212222022220
42122220333011200
520303133413144
61105235431040
7121202223450
oct23250770540
96623788286
102594435424
111111544809
12604a55480
133246751b9
141a87d3d60
15102b81919
hex9aa3f160

2594435424 has 96 divisors (see below), whose sum is σ = 7893075456. Its totient is φ = 730813440.

The previous prime is 2594435419. The next prime is 2594435453. The reversal of 2594435424 is 4245344952.

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 (42).

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, 20524 + ... + 74900.

It is an arithmetic number, because the mean of its divisors is an integer number (82219536).

Almost surely, 22594435424 is an apocalyptic number.

2594435424 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 2594435424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946537728).

2594435424 is an abundant number, since it is smaller than the sum of its proper divisors (5298640032).

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

2594435424 is a wasteful number, since it uses less digits than its factorization.

2594435424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54468 (or 54460 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 2594435424 is about 50935.6007523225. The cubic root of 2594435424 is about 1374.0871823977.

The spelling of 2594435424 in words is "two billion, five hundred ninety-four million, four hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 5964 6816 7952 11928 15904 23856 47712 54377 108754 163131 217508 326262 380639 435016 652524 761278 870032 1141917 1305048 1522556 1740064 2283834 2610096 3045112 3860767 4567668 5220192 6090224 7721534 9135336 11582301 12180448 15443068 18270672 23164602 27025369 30886136 36541344 46329204 54050738 61772272 81076107 92658408 108101476 123544544 162152214 185316816 216202952 324304428 370633632 432405904 648608856 864811808 1297217712 2594435424