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52342560 = 25325163223
BaseRepresentation
bin1100011110101…
…0111100100000
310122111021111100
43013222330200
5101344430220
65105514400
71203622134
oct307527440
9118437440
1052342560
1127600816
1215642a00
13aac873a
146d473c4
1548ddd90
hex31eaf20

52342560 has 144 divisors (see below), whose sum is σ = 180520704. Its totient is φ = 13810176.

The previous prime is 52342547. The next prime is 52342573. The reversal of 52342560 is 6524325.

52342560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52342547) and next prime (52342573).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234609 + ... + 234831.

It is an arithmetic number, because the mean of its divisors is an integer number (1253616).

Almost surely, 252342560 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 52342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90260352).

52342560 is an abundant number, since it is smaller than the sum of its proper divisors (128178144).

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

52342560 is a wasteful number, since it uses less digits than its factorization.

52342560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 52342560 is about 7234.8158235024. The cubic root of 52342560 is about 374.0689436038.

Adding to 52342560 its reverse (6524325), we get a palindrome (58866885).

The spelling of 52342560 in words is "fifty-two million, three hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 163 180 223 240 288 326 360 446 480 489 652 669 720 815 892 978 1115 1304 1338 1440 1467 1630 1784 1956 2007 2230 2445 2608 2676 2934 3260 3345 3568 3912 4014 4460 4890 5216 5352 5868 6520 6690 7136 7335 7824 8028 8920 9780 10035 10704 11736 13040 13380 14670 15648 16056 17840 19560 20070 21408 23472 26080 26760 29340 32112 35680 36349 39120 40140 46944 53520 58680 64224 72698 78240 80280 107040 109047 117360 145396 160560 181745 218094 234720 290792 321120 327141 363490 436188 545235 581584 654282 726980 872376 1090470 1163168 1308564 1453960 1635705 1744752 2180940 2617128 2907920 3271410 3489504 4361880 5234256 5815840 6542820 8723760 10468512 13085640 17447520 26171280 52342560