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5732352 = 21132311
BaseRepresentation
bin10101110111100000000000
3101210020022100
4111313200000
52431413402
6322510400
766503253
oct25674000
911706270
105732352
11326588a
121b05400
131259232
14a9309a
1578371c
hex577800

5732352 has 72 divisors (see below), whose sum is σ = 16609320. Its totient is φ = 1904640.

The previous prime is 5732351. The next prime is 5732371. The reversal of 5732352 is 2532375.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5732351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18277 + ... + 18587.

It is an arithmetic number, because the mean of its divisors is an integer number (230685).

Almost surely, 25732352 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 5732352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8304660).

5732352 is an abundant number, since it is smaller than the sum of its proper divisors (10876968).

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

5732352 is a wasteful number, since it uses less digits than its factorization.

5732352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 316 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 5732352 is about 2394.2330713613. The cubic root of 5732352 is about 178.9689198350.

It can be divided in two parts, 57323 and 52, that added together give a palindrome (57375).

The spelling of 5732352 in words is "five million, seven hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 311 384 512 576 622 768 933 1024 1152 1244 1536 1866 2048 2304 2488 2799 3072 3732 4608 4976 5598 6144 7464 9216 9952 11196 14928 18432 19904 22392 29856 39808 44784 59712 79616 89568 119424 159232 179136 238848 318464 358272 477696 636928 716544 955392 1433088 1910784 2866176 5732352