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53361882 = 233734367
BaseRepresentation
bin1100101110001…
…1110011011010
310201102001202000
43023203303122
5102130040012
65143421430
71215366000
oct313436332
9121361660
1053361882
1128137632
1215a54876
13b0946a2
147130a70
154a40ddc
hex32e3cda

53361882 has 128 divisors (see below), whose sum is σ = 143616000. Its totient is φ = 14669424.

The previous prime is 53361871. The next prime is 53361883. The reversal of 53361882 is 28816335.

53361882 is a `hidden beast` number, since 5 + 33 + 618 + 8 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (53361883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796413 + ... + 796479.

It is an arithmetic number, because the mean of its divisors is an integer number (1122000).

Almost surely, 253361882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53361882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71808000).

53361882 is an abundant number, since it is smaller than the sum of its proper divisors (90254118).

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

53361882 is a wasteful number, since it uses less digits than its factorization.

53361882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 53361882 is about 7304.9217654948. The cubic root of 53361882 is about 376.4815628819.

The spelling of 53361882 in words is "fifty-three million, three hundred sixty-one thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 49 54 63 67 86 98 126 129 134 147 189 201 258 294 301 343 378 387 402 441 469 602 603 686 774 882 903 938 1029 1161 1206 1323 1407 1806 1809 2058 2107 2322 2646 2709 2814 2881 3087 3283 3618 4214 4221 5418 5762 6174 6321 6566 8127 8442 8643 9261 9849 12642 12663 14749 16254 17286 18522 18963 19698 20167 22981 25326 25929 29498 29547 37926 40334 44247 45962 51858 56889 59094 60501 68943 77787 88494 88641 113778 121002 132741 137886 141169 155574 177282 181503 206829 265482 282338 363006 398223 413658 423507 544509 620487 796446 847014 988183 1089018 1240974 1270521 1976366 2541042 2964549 3811563 5929098 7623126 8893647 17787294 26680941 53361882