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242420464 = 241113105953
BaseRepresentation
bin11100111001100…
…00101011110000
3121220011020100201
432130300223300
5444024423324
640015524544
76002353126
oct1634605360
9556136321
10242420464
111149270a0
1269229754
133b2ba780
14242a5916
1516438444
hexe730af0

242420464 has 40 divisors (see below), whose sum is σ = 551808432. Its totient is φ = 101713920.

The previous prime is 242420461. The next prime is 242420471. The reversal of 242420464 is 464024242.

242420464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242420461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50689 + ... + 55264.

Almost surely, 2242420464 is an apocalyptic number.

It is an amenable number.

242420464 is an abundant number, since it is smaller than the sum of its proper divisors (309387968).

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

242420464 is a wasteful number, since it uses less digits than its factorization.

242420464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105985 (or 105979 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 242420464 is about 15569.8575459122. The cubic root of 242420464 is about 623.5286682908.

The spelling of 242420464 in words is "two hundred forty-two million, four hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 105953 211906 423812 847624 1165483 1377389 1695248 2330966 2754778 4661932 5509556 9323864 11019112 15151279 18647728 22038224 30302558 60605116 121210232 242420464