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52691800 = 2352761617
BaseRepresentation
bin1100100100000…
…0001101011000
310200011000120011
43021000031120
5101442114200
65121211304
71206605260
oct311001530
9120130504
1052691800
112781a147
1215790b34
13abbb6a5
146dd87a0
15495c5ba
hex3240358

52691800 has 96 divisors (see below), whose sum is σ = 142535520. Its totient is φ = 17740800.

The previous prime is 52691791. The next prime is 52691809. The reversal of 52691800 is 819625.

It is an interprime number because it is at equal distance from previous prime (52691791) and next prime (52691809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52691809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85092 + ... + 85708.

It is an arithmetic number, because the mean of its divisors is an integer number (1484745).

Almost surely, 252691800 is an apocalyptic number.

52691800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52691800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71267760).

52691800 is an abundant number, since it is smaller than the sum of its proper divisors (89843720).

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

52691800 is a wasteful number, since it uses less digits than its factorization.

52691800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 52691800 is about 7258.9117641696. The cubic root of 52691800 is about 374.8990543105.

The spelling of 52691800 in words is "fifty-two million, six hundred ninety-one thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 61 70 100 122 140 175 200 244 280 305 350 427 488 610 617 700 854 1220 1234 1400 1525 1708 2135 2440 2468 3050 3085 3416 4270 4319 4936 6100 6170 8540 8638 10675 12200 12340 15425 17080 17276 21350 21595 24680 30850 34552 37637 42700 43190 61700 75274 85400 86380 107975 123400 150548 172760 188185 215950 263459 301096 376370 431900 526918 752740 863800 940925 1053836 1317295 1505480 1881850 2107672 2634590 3763700 5269180 6586475 7527400 10538360 13172950 26345900 52691800