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5240010042 = 234315319687
BaseRepresentation
bin1001110000101010…
…00011010100111010
3111112012000002110000
410320111003110322
541212420310132
62223543333430
7243565231131
oct47025032472
914465002400
105240010042
112249938113
121022a51276
136567b4177
14379cda918
1520a06587c
hex13854353a

5240010042 has 80 divisors (see below), whose sum is σ = 12349573632. Its totient is φ = 1658348640.

The previous prime is 5240010031. The next prime is 5240010047. The reversal of 5240010042 is 2400100425.

5240010042 is a `hidden beast` number, since 524 + 0 + 0 + 100 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5240009997 and 5240010024.

It is not an unprimeable number, because it can be changed into a prime (5240010047) 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, 256323 + ... + 276009.

Almost surely, 25240010042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5240010042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174786816).

5240010042 is an abundant number, since it is smaller than the sum of its proper divisors (7109563590).

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

5240010042 is a wasteful number, since it uses less digits than its factorization.

5240010042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19785 (or 19776 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5240010042 is about 72387.9136458567. The cubic root of 5240010042 is about 1736.9102300873.

Adding to 5240010042 its reverse (2400100425), we get a palindrome (7640110467).

The spelling of 5240010042 in words is "five billion, two hundred forty million, ten thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 31 53 54 62 81 93 106 159 162 186 279 318 477 558 837 954 1431 1643 1674 2511 2862 3286 4293 4929 5022 8586 9858 14787 19687 29574 39374 44361 59061 88722 118122 133083 177183 266166 354366 531549 610297 1043411 1063098 1220594 1594647 1830891 2086822 3130233 3189294 3661782 5492673 6260466 9390699 10985346 16478019 18781398 28172097 32345741 32956038 49434057 56344194 64691482 84516291 97037223 98868114 169032582 194074446 291111669 582223338 873335007 1746670014 2620005021 5240010042