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52661040 = 2435593719
BaseRepresentation
bin1100100011100…
…0101100110000
310200002110100220
43020320230300
5101440123130
65120413040
71206416505
oct310705460
9120073326
1052661040
11277a9023
1215777180
13abaa6a3
146dcb4ac
154953410
hex3238b30

52661040 has 80 divisors (see below), whose sum is σ = 166060800. Its totient is φ = 13801216.

The previous prime is 52661023. The next prime is 52661137. The reversal of 52661040 is 4016625.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 52661040.

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 15 ways as a sum of consecutive naturals, for example, 12301 + ... + 16019.

It is an arithmetic number, because the mean of its divisors is an integer number (2075760).

Almost surely, 252661040 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 52661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030400).

52661040 is an abundant number, since it is smaller than the sum of its proper divisors (113399760).

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

52661040 is a wasteful number, since it uses less digits than its factorization.

52661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 52661040 is about 7256.7926799654. The cubic root of 52661040 is about 374.8260882472.

Adding to 52661040 its reverse (4016625), we get a palindrome (56677665).

The spelling of 52661040 in words is "fifty-two million, six hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 3719 4720 7080 7438 11157 14160 14876 18595 22314 29752 37190 44628 55785 59504 74380 89256 111570 148760 178512 219421 223140 297520 438842 446280 658263 877684 892560 1097105 1316526 1755368 2194210 2633052 3291315 3510736 4388420 5266104 6582630 8776840 10532208 13165260 17553680 26330520 52661040