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52878312 = 23333153149
BaseRepresentation
bin1100100110110…
…1101111101000
310200111111102000
43021231233220
5102014101222
65125211000
71211313114
oct311555750
9120444360
1052878312
1127937293
1215860a60
13ac55556
147046744
1549979ac
hex326dbe8

52878312 has 128 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 16623360.

The previous prime is 52878307. The next prime is 52878317. The reversal of 52878312 is 21387825.

It is an interprime number because it is at equal distance from previous prime (52878307) and next prime (52878317).

It is a super-2 number, since 2×528783122 = 5592231759938688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52878317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354814 + ... + 354962.

It is an arithmetic number, because the mean of its divisors is an integer number (1215000).

Almost surely, 252878312 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 52878312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

52878312 is an abundant number, since it is smaller than the sum of its proper divisors (102641688).

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

52878312 is a wasteful number, since it uses less digits than its factorization.

52878312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 52878312 is about 7271.7475203695. The cubic root of 52878312 is about 375.3408740525.

The spelling of 52878312 in words is "fifty-two million, eight hundred seventy-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 53 54 62 72 93 106 108 124 149 159 186 212 216 248 279 298 318 372 424 447 477 558 596 636 744 837 894 954 1116 1192 1272 1341 1431 1643 1674 1788 1908 2232 2682 2862 3286 3348 3576 3816 4023 4619 4929 5364 5724 6572 6696 7897 8046 9238 9858 10728 11448 13144 13857 14787 15794 16092 18476 19716 23691 27714 29574 31588 32184 36952 39432 41571 44361 47382 55428 59148 63176 71073 83142 88722 94764 110856 118296 124713 142146 166284 177444 189528 213219 244807 249426 284292 332568 354888 426438 489614 498852 568584 734421 852876 979228 997704 1468842 1705752 1958456 2203263 2937684 4406526 5875368 6609789 8813052 13219578 17626104 26439156 52878312