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501111972 = 223215788661
BaseRepresentation
bin11101110111100…
…101110010100100
31021220221010101200
4131313211302210
52011241040342
6121420322500
715263244564
oct3567456244
91256833350
10501111972
11237956929
1211b9a3430
137ca8427a
144a7a4da4
152ded794c
hex1dde5ca4

501111972 has 36 divisors (see below), whose sum is σ = 1274782236. Its totient is φ = 165971520.

The previous prime is 501111943. The next prime is 501111977. The reversal of 501111972 is 279111105.

It can be written as a sum of positive squares in 2 ways, for example, as 45887076 + 455224896 = 6774^2 + 21336^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×5011119722 = 502226416963457568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (501111977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38679 + ... + 49982.

Almost surely, 2501111972 is an apocalyptic number.

It is an amenable number.

501111972 is an abundant number, since it is smaller than the sum of its proper divisors (773670264).

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

501111972 is a wasteful number, since it uses less digits than its factorization.

501111972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88828 (or 88823 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The square root of 501111972 is about 22385.5304158736. The cubic root of 501111972 is about 794.2884721870.

The spelling of 501111972 in words is "five hundred one million, one hundred eleven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 88661 177322 265983 354644 531966 797949 1063932 1595898 3191796 13919777 27839554 41759331 55679108 83518662 125277993 167037324 250555986 501111972