Search a number
-
+
52661760 = 29356857
BaseRepresentation
bin1100100011100…
…0111000000000
310200002111100120
43020320320000
5101440134020
65120420240
71206421554
oct310707000
9120074316
1052661760
11277a9618
1215777680
13abaab08
146dcb864
154953740
hex3238e00

52661760 has 80 divisors (see below), whose sum is σ = 168377616. Its totient is φ = 14041088.

The previous prime is 52661759. The next prime is 52661771. The reversal of 52661760 is 6716625.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4252 + ... + 11108.

Almost surely, 252661760 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 52661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84188808).

52661760 is an abundant number, since it is smaller than the sum of its proper divisors (115715856).

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

52661760 is an equidigital number, since it uses as much as digits as its factorization.

52661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 52661760 is about 7256.8422884888. The cubic root of 52661760 is about 374.8277964902.

The spelling of 52661760 in words is "fifty-two million, six hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 6857 7680 13714 20571 27428 34285 41142 54856 68570 82284 102855 109712 137140 164568 205710 219424 274280 329136 411420 438848 548560 658272 822840 877696 1097120 1316544 1645680 1755392 2194240 2633088 3291360 3510784 4388480 5266176 6582720 8776960 10532352 13165440 17553920 26330880 52661760