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52297344 = 2732114127
BaseRepresentation
bin1100011101111…
…1111010000000
310122101222110200
43013133322000
5101342003334
65104525200
71203343251
oct307377200
9118358420
1052297344
112757a850
1215620800
13aab0c98
146d34b28
1548d0799
hex31dfe80

52297344 has 96 divisors (see below), whose sum is σ = 164211840. Its totient is φ = 15843840.

The previous prime is 52297339. The next prime is 52297363. The reversal of 52297344 is 44379225.

52297344 is a `hidden beast` number, since 522 + 97 + 3 + 44 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 52297299 and 52297308.

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, 10609 + ... + 14735.

It is an arithmetic number, because the mean of its divisors is an integer number (1710540).

Almost surely, 252297344 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 52297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82105920).

52297344 is an abundant number, since it is smaller than the sum of its proper divisors (111914496).

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

52297344 is a wasteful number, since it uses less digits than its factorization.

52297344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4143 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 52297344 is about 7231.6902588537. The cubic root of 52297344 is about 373.9611997077.

The spelling of 52297344 in words is "fifty-two million, two hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4127 4224 6336 8254 12381 12672 16508 24762 33016 37143 45397 49524 66032 74286 90794 99048 132064 136191 148572 181588 198096 264128 272382 297144 363176 396192 408573 528256 544764 594288 726352 792384 817146 1089528 1188576 1452704 1584768 1634292 2179056 2377152 2905408 3268584 4358112 4754304 5810816 6537168 8716224 13074336 17432448 26148672 52297344