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242433872 = 24175367251
BaseRepresentation
bin11100111001100…
…11111101010000
3121220011220202022
432130303331100
5444030340442
640020111012
76002440202
oct1634637520
9556156668
10242433872
1111493617a
1269235468
133b2c38c5
14242aa772
151643c3d2
hexe733f50

242433872 has 80 divisors (see below), whose sum is σ = 516341952. Its totient is φ = 109824000.

The previous prime is 242433853. The next prime is 242433887. The reversal of 242433872 is 278334242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965747 + ... + 965997.

Almost surely, 2242433872 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 242433872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258170976).

242433872 is an abundant number, since it is smaller than the sum of its proper divisors (273908080).

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

242433872 is a wasteful number, since it uses less digits than its factorization.

242433872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its digits is 64512, while the sum is 35.

The square root of 242433872 is about 15570.2881155103. The cubic root of 242433872 is about 623.5401636326.

The spelling of 242433872 in words is "two hundred forty-two million, four hundred thirty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 53 67 68 106 134 136 212 251 268 272 424 502 536 848 901 1004 1072 1139 1802 2008 2278 3551 3604 4016 4267 4556 7102 7208 8534 9112 13303 14204 14416 16817 17068 18224 26606 28408 33634 34136 53212 56816 60367 67268 68272 106424 120734 134536 212848 226151 241468 269072 285889 452302 482936 571778 891301 904604 965872 1143556 1782602 1809208 2287112 3565204 3618416 4574224 7130408 14260816 15152117 30304234 60608468 121216936 242433872