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52396146 = 239113
BaseRepresentation
bin1100011111100…
…0000001110010
310122121000000000
43013320001302
5101403134041
65111010430
71204234305
oct307700162
9118530000
1052396146
1127638000
1215669a16
13ab16c4a
146d5cb3c
1548eebb6
hex31f8072

52396146 has 80 divisors (see below), whose sum is σ = 129669408. Its totient is φ = 15877620.

The previous prime is 52396121. The next prime is 52396147. The reversal of 52396146 is 64169325.

It is a happy number.

52396146 is a `hidden beast` number, since 5 + 2 + 39 + 614 + 6 = 666.

It is a super-2 number, since 2×523961462 = 5490712231306632, which contains 22 as substring.

Its product of digits (38880) is a multiple of the sum of its prime divisors (16).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 52396146.

It is not an unprimeable number, because it can be changed into a prime (52396147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4763281 + ... + 4763291.

Almost surely, 252396146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52396146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64834704).

52396146 is an abundant number, since it is smaller than the sum of its proper divisors (77273262).

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

52396146 is an frugal number, since it uses more digits than its factorization.

52396146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 16 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 52396146 is about 7238.5182185306. The cubic root of 52396146 is about 374.1965518188.

It can be divided in two parts, 523 and 96146, that added together give a palindrome (96669).

The spelling of 52396146 in words is "fifty-two million, three hundred ninety-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 726 729 891 1089 1331 1458 1782 2178 2187 2662 2673 3267 3993 4374 5346 6534 6561 7986 8019 9801 11979 13122 16038 19602 19683 23958 24057 29403 35937 39366 48114 58806 71874 72171 88209 107811 144342 176418 215622 216513 264627 323433 433026 529254 646866 793881 970299 1587762 1940598 2381643 2910897 4763286 5821794 8732691 17465382 26198073 52396146