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52997760 = 273353067
BaseRepresentation
bin1100101000101…
…0111010000000
310200201120021000
43022022322000
5102031412020
65131532000
71212321264
oct312127200
9120646230
1052997760
1127a09002
12158ba000
13ac97a2a
1470780a4
1549bd090
hex328ae80

52997760 has 128 divisors (see below), whose sum is σ = 187761600. Its totient is φ = 14128128.

The previous prime is 52997759. The next prime is 52997767. The reversal of 52997760 is 6779925.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52997767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15747 + ... + 18813.

Almost surely, 252997760 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 52997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93880800).

52997760 is an abundant number, since it is smaller than the sum of its proper divisors (134763840).

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

52997760 is a wasteful number, since it uses less digits than its factorization.

52997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 52997760 is about 7279.9560438233. The cubic root of 52997760 is about 375.6232834733.

It can be divided in two parts, 529 and 97760, that added together give a palindrome (98289).

The spelling of 52997760 in words is "fifty-two million, nine hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3067 3456 4320 5760 6134 8640 9201 12268 15335 17280 18402 24536 27603 30670 36804 46005 49072 55206 61340 73608 82809 92010 98144 110412 122680 138015 147216 165618 184020 196288 220824 245360 276030 294432 331236 368040 392576 414045 441648 490720 552060 588864 662472 736080 828090 883296 981440 1104120 1177728 1324944 1472160 1656180 1766592 1962880 2208240 2649888 2944320 3312360 3533184 4416480 5299776 5888640 6624720 8832960 10599552 13249440 17665920 26498880 52997760