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5262432 = 253741191
BaseRepresentation
bin10100000100110001100000
3100220100200220
4110010301200
52321344212
6304443040
762505240
oct24046140
910810626
105262432
112a7481a
121919480
131123386
149adb20
156de38c
hex504c60

5262432 has 96 divisors (see below), whose sum is σ = 16257024. Its totient is φ = 1459200.

The previous prime is 5262379. The next prime is 5262437. The reversal of 5262432 is 2342625.

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 (24).

It is a d-powerful number, because it can be written as 55 + 214 + 62 + 220 + 4 + 3 + 222 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5262437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27457 + ... + 27647.

It is an arithmetic number, because the mean of its divisors is an integer number (169344).

Almost surely, 25262432 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 5262432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128512).

5262432 is an abundant number, since it is smaller than the sum of its proper divisors (10994592).

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

5262432 is a wasteful number, since it uses less digits than its factorization.

5262432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 5262432 is about 2293.9991281603. Note that the first 3 decimals coincide. The cubic root of 5262432 is about 173.9384112851.

The spelling of 5262432 in words is "five million, two hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 191 224 246 287 328 336 382 492 573 574 656 672 764 861 984 1146 1148 1312 1337 1528 1722 1968 2292 2296 2674 3056 3444 3936 4011 4584 4592 5348 6112 6888 7831 8022 9168 9184 10696 13776 15662 16044 18336 21392 23493 27552 31324 32088 42784 46986 54817 62648 64176 93972 109634 125296 128352 164451 187944 219268 250592 328902 375888 438536 657804 751776 877072 1315608 1754144 2631216 5262432