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242474742 = 23329672311
BaseRepresentation
bin11100111001111…
…01111011110110
3121220020222211000
432130331323312
5444033142432
640021024130
76003000306
oct1634757366
9556228730
10242474742
11114963954
1269255046
133b3093a3
14242bb606
151644957c
hexe73def6

242474742 has 64 divisors (see below), whose sum is σ = 565977600. Its totient is φ = 76839840.

The previous prime is 242474741. The next prime is 242474753. The reversal of 242474742 is 247474242.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 242474697 and 242474706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242474741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103767 + ... + 106077.

It is an arithmetic number, because the mean of its divisors is an integer number (8843400).

Almost surely, 2242474742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242474742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282988800).

242474742 is an abundant number, since it is smaller than the sum of its proper divisors (323502858).

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

242474742 is a wasteful number, since it uses less digits than its factorization.

242474742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2412 counting only the distinct ones).

The product of its digits is 100352, while the sum is 36.

The square root of 242474742 is about 15571.6004957744. The cubic root of 242474742 is about 623.5752008909.

The spelling of 242474742 in words is "two hundred forty-two million, four hundred seventy-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 67 87 134 174 201 261 402 522 603 783 1206 1566 1809 1943 2311 3618 3886 4622 5829 6933 11658 13866 17487 20799 34974 41598 52461 62397 67019 104922 124794 134038 154837 201057 309674 402114 464511 603171 929022 1206342 1393533 1809513 2787066 3619026 4180599 4490273 8361198 8980546 13470819 26941638 40412457 80824914 121237371 242474742