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52720600 = 23522373157
BaseRepresentation
bin1100100100011…
…1001111011000
310200012111001211
43021013033120
5101444024400
65121552504
71210055242
oct311071730
9120174054
1052720600
1127839849
12157a5734
13abcb82a
147005092
154965dba
hex32473d8

52720600 has 96 divisors (see below), whose sum is σ = 130482720. Its totient is φ = 19768320.

The previous prime is 52720589. The next prime is 52720601. The reversal of 52720600 is 602725.

52720600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52720601) 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, 335722 + ... + 335878.

It is an arithmetic number, because the mean of its divisors is an integer number (1359195).

Almost surely, 252720600 is an apocalyptic number.

52720600 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 52720600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65241360).

52720600 is an abundant number, since it is smaller than the sum of its proper divisors (77762120).

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

52720600 is a wasteful number, since it uses less digits than its factorization.

52720600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 52720600 is about 7260.8952616051. The cubic root of 52720600 is about 374.9673453047.

The spelling of 52720600 in words is "fifty-two million, seven hundred twenty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 73 92 100 115 146 157 184 200 230 292 314 365 460 575 584 628 730 785 920 1150 1256 1460 1570 1679 1825 2300 2920 3140 3358 3611 3650 3925 4600 6280 6716 7222 7300 7850 8395 11461 13432 14444 14600 15700 16790 18055 22922 28888 31400 33580 36110 41975 45844 57305 67160 72220 83950 90275 91688 114610 144440 167900 180550 229220 263603 286525 335800 361100 458440 527206 573050 722200 1054412 1146100 1318015 2108824 2292200 2636030 5272060 6590075 10544120 13180150 26360300 52720600