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52153420 = 22511223937
BaseRepresentation
bin1100011011110…
…0110001001100
310122010200001011
43012330301030
5101322402140
65101455004
71202203534
oct306746114
9118120034
1052153420
1127491700
1215571464
13aa60617
146cd84c4
1548a2cea
hex31bcc4c

52153420 has 72 divisors (see below), whose sum is σ = 125752032. Its totient is φ = 18120960.

The previous prime is 52153417. The next prime is 52153421. The reversal of 52153420 is 2435125.

52153420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 52153391 and 52153400.

It is not an unprimeable number, because it can be changed into a prime (52153421) by changing a digit.

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, 55192 + ... + 56128.

It is an arithmetic number, because the mean of its divisors is an integer number (1746556).

Almost surely, 252153420 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 52153420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62876016).

52153420 is an abundant number, since it is smaller than the sum of its proper divisors (73598612).

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

52153420 is a wasteful number, since it uses less digits than its factorization.

52153420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 52153420 is about 7221.7324791216. The cubic root of 52153420 is about 373.6178333815.

Adding to 52153420 its reverse (2435125), we get a palindrome (54588545).

The spelling of 52153420 in words is "fifty-two million, one hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 937 1012 1210 1265 1874 2420 2530 2783 3748 4685 5060 5566 9370 10307 11132 13915 18740 20614 21551 27830 41228 43102 51535 55660 86204 103070 107755 113377 206140 215510 226754 237061 431020 453508 474122 566885 948244 1133770 1185305 2267540 2370610 2607671 4741220 5215342 10430684 13038355 26076710 52153420