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242060928 = 273739853
BaseRepresentation
bin11100110110110…
…00111010000000
3121212110222011120
432123120322000
5443431422203
640004112240
75666324664
oct1633307200
9555428146
10242060928
11114700a5a
1269095680
133b1c2c25
14242108a4
15163b6b53
hexe6d8e80

242060928 has 64 divisors (see below), whose sum is σ = 644599200. Its totient is φ = 80483328.

The previous prime is 242060921. The next prime is 242060933. The reversal of 242060928 is 829060242.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (242060921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283350 + ... + 284202.

Almost surely, 2242060928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242060928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322299600).

242060928 is an abundant number, since it is smaller than the sum of its proper divisors (402538272).

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

242060928 is an equidigital number, since it uses as much as digits as its factorization.

242060928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 242060928 is about 15558.3073629492. The cubic root of 242060928 is about 623.2202620899.

The spelling of 242060928 in words is "two hundred forty-two million, sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 739 853 1478 1706 2217 2559 2956 3412 4434 5118 5912 6824 8868 10236 11824 13648 17736 20472 23648 27296 35472 40944 47296 54592 70944 81888 94592 109184 141888 163776 283776 327552 630367 1260734 1891101 2521468 3782202 5042936 7564404 10085872 15128808 20171744 30257616 40343488 60515232 80686976 121030464 242060928