Search a number
-
+
52146560 = 275591381
BaseRepresentation
bin1100011011101…
…1000110000000
310122010022122002
43012323012000
5101322142220
65101403132
71202144534
oct306730600
9118108562
1052146560
1127487534
12155694a8
13aa5a46b
146cd5bc4
1548a0c75
hex31bb180

52146560 has 64 divisors (see below), whose sum is σ = 126867600. Its totient is φ = 20490240.

The previous prime is 52146539. The next prime is 52146571. The reversal of 52146560 is 6564125.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37070 + ... + 38450.

Almost surely, 252146560 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 52146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63433800).

52146560 is an abundant number, since it is smaller than the sum of its proper divisors (74721040).

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

52146560 is a wasteful number, since it uses less digits than its factorization.

52146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 52146560 is about 7221.2575082184. The cubic root of 52146560 is about 373.6014513896.

The spelling of 52146560 in words is "fifty-two million, one hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 295 320 472 590 640 944 1180 1381 1888 2360 2762 3776 4720 5524 6905 7552 9440 11048 13810 18880 22096 27620 37760 44192 55240 81479 88384 110480 162958 176768 220960 325916 407395 441920 651832 814790 883840 1303664 1629580 2607328 3259160 5214656 6518320 10429312 13036640 26073280 52146560