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52420520 = 23517127607
BaseRepresentation
bin1100011111110…
…1111110101000
310122122020102202
43013331332220
5101404424040
65111315332
71204365335
oct307757650
9118566382
1052420520
1127654349
121567bb48
13ab25079
146d6798c
154907015
hex31fdfa8

52420520 has 64 divisors (see below), whose sum is σ = 126074880. Its totient is φ = 19547136.

The previous prime is 52420493. The next prime is 52420541. The reversal of 52420520 is 2502425.

52420520 = 17482 + 17492 + ... + 17642.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 52420492 and 52420501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86057 + ... + 86663.

It is an arithmetic number, because the mean of its divisors is an integer number (1969920).

Almost surely, 252420520 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 52420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63037440).

52420520 is an abundant number, since it is smaller than the sum of its proper divisors (73654360).

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

52420520 is a wasteful number, since it uses less digits than its factorization.

52420520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 52420520 is about 7240.2016546502. The cubic root of 52420520 is about 374.2545666000.

Adding to 52420520 its reverse (2502425), we get a palindrome (54922945).

The spelling of 52420520 in words is "fifty-two million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 127 136 170 254 340 508 607 635 680 1016 1214 1270 2159 2428 2540 3035 4318 4856 5080 6070 8636 10319 10795 12140 17272 20638 21590 24280 41276 43180 51595 77089 82552 86360 103190 154178 206380 308356 385445 412760 616712 770890 1310513 1541780 2621026 3083560 5242052 6552565 10484104 13105130 26210260 52420520