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42499035252 = 22329971184081
BaseRepresentation
bin100111100101001000…
…111101000001110100
311001200211102200101200
4213211020331001310
51144014223112002
631305045452500
73033110560602
oct474510750164
9131624380350
1042499035252
1117029663233
1282a0a11130
134013a3484b
1420b244a872
15118b0c1b1c
hex9e523d074

42499035252 has 36 divisors (see below), whose sum is σ = 107535959076. Its totient is φ = 14152124160.

The previous prime is 42499035239. The next prime is 42499035263. The reversal of 42499035252 is 25253099424.

42499035252 is a `hidden beast` number, since 4 + 249 + 9 + 0 + 352 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39284825616 + 3214209636 = 198204^2 + 56694^2 .

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

It is a super-4 number, since 4×424990352524 (a number of 44 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42499035198 and 42499035207.

It is a congruent number.

It is an unprimeable number.

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, 556149 + ... + 627932.

Almost surely, 242499035252 is an apocalyptic number.

It is an amenable number.

42499035252 is an abundant number, since it is smaller than the sum of its proper divisors (65036923824).

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

42499035252 is a wasteful number, since it uses less digits than its factorization.

42499035252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185088 (or 1185083 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 42499035252 in words is "forty-two billion, four hundred ninety-nine million, thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 997 1994 2991 3988 5982 8973 11964 17946 35892 1184081 2368162 3552243 4736324 7104486 10656729 14208972 21313458 42626916 1180528757 2361057514 3541586271 4722115028 7083172542 10624758813 14166345084 21249517626 42499035252