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501201272 = 231113267503
BaseRepresentation
bin11101110111111…
…011100101111000
31021221002122220002
4131313323211320
52011301420042
6121422252132
715264066125
oct3567734570
91257078802
10501201272
11237a07a30
1211ba27048
137cab5b00
144a7c974c
152e004132
hex1ddfb978

501201272 has 96 divisors (see below), whose sum is σ = 1128919680. Its totient is φ = 206743680.

The previous prime is 501201263. The next prime is 501201277. The reversal of 501201272 is 272102105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501201277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996173 + ... + 996675.

It is an arithmetic number, because the mean of its divisors is an integer number (11759580).

Almost surely, 2501201272 is an apocalyptic number.

501201272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501201272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564459840).

501201272 is an abundant number, since it is smaller than the sum of its proper divisors (627718408).

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

501201272 is a wasteful number, since it uses less digits than its factorization.

501201272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 501201272 is about 22387.5249190258. The cubic root of 501201272 is about 794.3356510955.

Adding to 501201272 its reverse (272102105), we get a palindrome (773303377).

The spelling of 501201272 in words is "five hundred one million, two hundred one thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 67 88 104 134 143 169 268 286 338 503 536 572 676 737 871 1006 1144 1352 1474 1742 1859 2012 2948 3484 3718 4024 5533 5896 6539 6968 7436 9581 11066 11323 13078 14872 19162 22132 22646 26156 33701 38324 44264 45292 52312 67402 71929 76648 85007 90584 124553 134804 143858 170014 249106 269608 287716 340028 370711 438113 498212 575432 680056 741422 876226 935077 996424 1482844 1752452 1870154 2965688 3504904 3740308 4819243 5695469 7480616 9638486 11390938 19276972 22781876 38553944 45563752 62650159 125300318 250600636 501201272