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242508476 = 227194310601
BaseRepresentation
bin11100111010001…
…10001010111100
3121220022201002102
432131012022330
5444040232401
640021444232
76003200540
oct1635061274
9556281072
10242508476
11114987231
1269270678
133b31b852
14242c9a20
151645456b
hexe7462bc

242508476 has 48 divisors (see below), whose sum is σ = 522466560. Its totient is φ = 96163200.

The previous prime is 242508473. The next prime is 242508479. The reversal of 242508476 is 674805242.

It is an interprime number because it is at equal distance from previous prime (242508473) and next prime (242508479).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242508473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17576 + ... + 28176.

It is an arithmetic number, because the mean of its divisors is an integer number (10884720).

Almost surely, 2242508476 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 242508476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233280).

242508476 is an abundant number, since it is smaller than the sum of its proper divisors (279958084).

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

242508476 is a wasteful number, since it uses less digits than its factorization.

242508476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10674 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 242508476 is about 15572.6836479780. The cubic root of 242508476 is about 623.6041175940.

The spelling of 242508476 in words is "two hundred forty-two million, five hundred eight thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1634 3268 5719 10601 11438 21202 22876 42404 74207 148414 201419 296828 402838 455843 805676 911686 1409933 1823372 2819866 3190901 5639732 6381802 8661017 12763604 17322034 34644068 60627119 121254238 242508476