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242549400 = 23352404249
BaseRepresentation
bin11100111010100…
…00001010011000
3121220101210020010
432131100022120
5444043040100
640022401520
76003431052
oct1635201230
9556353203
10242549400
11114a04a55
12692902a0
133b334372
14242da8d2
1516461750
hexe750298

242549400 has 48 divisors (see below), whose sum is σ = 751905000. Its totient is φ = 64679680.

The previous prime is 242549381. The next prime is 242549401. The reversal of 242549400 is 4945242.

It is a super-2 number, since 2×2425494002 = 117660422880720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242549401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201525 + ... + 202724.

Almost surely, 2242549400 is an apocalyptic number.

242549400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242549400 is an abundant number, since it is smaller than the sum of its proper divisors (509355600).

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

242549400 is a wasteful number, since it uses less digits than its factorization.

242549400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404268 (or 404259 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 242549400 is about 15573.9975600358. The cubic root of 242549400 is about 623.6391939480.

The spelling of 242549400 in words is "two hundred forty-two million, five hundred forty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 404249 808498 1212747 1616996 2021245 2425494 3233992 4042490 4850988 6063735 8084980 9701976 10106225 12127470 16169960 20212450 24254940 30318675 40424900 48509880 60637350 80849800 121274700 242549400