Search a number
-
+
52438056 = 23311307647
BaseRepresentation
bin1100100000001…
…0010000101000
310122200010111020
43020002100220
5101411004211
65111532440
71204500426
oct310022050
9118603436
1052438056
1127666540
121568a120
13ab30048
146d70116
15490c306
hex3202428

52438056 has 64 divisors (see below), whose sum is σ = 143700480. Its totient is φ = 15814080.

The previous prime is 52438049. The next prime is 52438063. The reversal of 52438056 is 65083425.

It is an interprime number because it is at equal distance from previous prime (52438049) and next prime (52438063).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80725 + ... + 81371.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 252438056 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 52438056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850240).

52438056 is an abundant number, since it is smaller than the sum of its proper divisors (91262424).

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

52438056 is a wasteful number, since it uses less digits than its factorization.

52438056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 52438056 is about 7241.4125693818. The cubic root of 52438056 is about 374.2962945111.

The spelling of 52438056 in words is "fifty-two million, four hundred thirty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 307 614 647 921 1228 1294 1842 1941 2456 2588 3377 3684 3882 5176 6754 7117 7368 7764 10131 13508 14234 15528 20262 21351 27016 28468 40524 42702 56936 81048 85404 170808 198629 397258 595887 794516 1191774 1589032 2184919 2383548 4369838 4767096 6554757 8739676 13109514 17479352 26219028 52438056