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52332720 = 24351143461
BaseRepresentation
bin1100011110100…
…0100010110000
310122110202222220
43013220202300
5101344121340
65105401040
71203551346
oct307504260
9118422886
1052332720
11275a4390
1215639180
13aac410b
146d43996
1548daed0
hex31e88b0

52332720 has 160 divisors (see below), whose sum is σ = 181488384. Its totient is φ = 12364800.

The previous prime is 52332691. The next prime is 52332727. The reversal of 52332720 is 2723325.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (52332727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113290 + ... + 113750.

Almost surely, 252332720 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 52332720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

52332720 is an abundant number, since it is smaller than the sum of its proper divisors (129155664).

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

52332720 is a wasteful number, since it uses less digits than its factorization.

52332720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 52332720 is about 7234.1357465837. The cubic root of 52332720 is about 374.0455014368.

The spelling of 52332720 in words is "fifty-two million, three hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 43 44 48 55 60 66 80 86 88 110 120 129 132 165 172 176 215 220 240 258 264 330 344 430 440 461 473 516 528 645 660 688 860 880 922 946 1032 1290 1320 1383 1419 1720 1844 1892 2064 2305 2365 2580 2640 2766 2838 3440 3688 3784 4610 4730 5071 5160 5532 5676 6915 7095 7376 7568 9220 9460 10142 10320 11064 11352 13830 14190 15213 18440 18920 19823 20284 22128 22704 25355 27660 28380 30426 36880 37840 39646 40568 50710 55320 56760 59469 60852 76065 79292 81136 99115 101420 110640 113520 118938 121704 152130 158584 198230 202840 218053 237876 243408 297345 304260 317168 396460 405680 436106 475752 594690 608520 654159 792920 872212 951504 1090265 1189380 1217040 1308318 1585840 1744424 2180530 2378760 2616636 3270795 3488848 4361060 4757520 5233272 6541590 8722120 10466544 13083180 17444240 26166360 52332720