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242050152 = 23337253139
BaseRepresentation
bin11100110110101…
…10010001101000
3121212110102101110
432123112101220
5443431101102
640003550320
75666251401
oct1633262150
9555412343
10242050152
111146a3953
126908b3a0
133b1bb056
142420a9a8
15163b386c
hexe6d6468

242050152 has 96 divisors (see below), whose sum is σ = 638215200. Its totient is φ = 76467456.

The previous prime is 242050073. The next prime is 242050169. The reversal of 242050152 is 251050242.

It is a happy number.

242050152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741299 + ... + 1741437.

It is an arithmetic number, because the mean of its divisors is an integer number (6648075).

Almost surely, 2242050152 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 242050152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319107600).

242050152 is an abundant number, since it is smaller than the sum of its proper divisors (396165048).

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

242050152 is a wasteful number, since it uses less digits than its factorization.

242050152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 242050152 is about 15557.9610489293. The cubic root of 242050152 is about 623.2110138381.

The spelling of 242050152 in words is "two hundred forty-two million, fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 106 111 139 148 159 212 222 278 296 318 417 424 444 556 636 834 888 1112 1272 1369 1668 1961 2738 3336 3922 4107 5143 5476 5883 7367 7844 8214 10286 10952 11766 14734 15429 15688 16428 20572 22101 23532 29468 30858 32856 41144 44202 47064 58936 61716 72557 88404 123432 145114 176808 190291 217671 272579 290228 380582 435342 545158 570873 580456 761164 817737 870684 1090316 1141746 1522328 1635474 1741368 2180632 2283492 3270948 4566984 6541896 10085423 20170846 30256269 40341692 60512538 80683384 121025076 242050152