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52535542240 = 2553726173391
BaseRepresentation
bin110000111011010111…
…001100000111100000
312000121021220001200201
4300323113030013200
51330043044322430
640045014554544
73536610512116
oct607327140740
9160537801621
1052535542240
1120309a42505
12a222068a54
134c5316498c
142785393ab6
1515772918ca
hexc3b5cc1e0

52535542240 has 96 divisors (see below), whose sum is σ = 127555997184. Its totient is φ = 20432424960.

The previous prime is 52535542237. The next prime is 52535542247. The reversal of 52535542240 is 4224553525.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 52535542240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52535542247) by changing a digit.

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, 15490945 + ... + 15494335.

It is an arithmetic number, because the mean of its divisors is an integer number (1328708304).

Almost surely, 252535542240 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 52535542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63777998592).

52535542240 is an abundant number, since it is smaller than the sum of its proper divisors (75020454944).

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

52535542240 is a wasteful number, since it uses less digits than its factorization.

52535542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 37.

The spelling of 52535542240 in words is "fifty-two billion, five hundred thirty-five million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2617 2960 3391 5234 5920 6782 10468 13085 13564 16955 20936 26170 27128 33910 41872 52340 54256 67820 83744 96829 104680 108512 125467 135640 193658 209360 250934 271280 387316 418720 484145 501868 542560 627335 774632 968290 1003736 1254670 1549264 1936580 2007472 2509340 3098528 3873160 4014944 5018680 7746320 8874247 10037360 15492640 17748494 20074720 35496988 44371235 70993976 88742470 141987952 177484940 283975904 328347139 354969880 656694278 709939760 1313388556 1419879520 1641735695 2626777112 3283471390 5253554224 6566942780 10507108448 13133885560 26267771120 52535542240