Search a number
-
+
242552700 = 2232521320731
BaseRepresentation
bin11100111010100…
…00111101111100
3121220101221202100
432131100331330
5444043141300
640022425100
76003443505
oct1635207574
9556357670
10242552700
11114a07485
1269292190
133b335a10
14242dbbac
1516462700
hexe750f7c

242552700 has 108 divisors (see below), whose sum is σ = 818789608. Its totient is φ = 59702400.

The previous prime is 242552683. The next prime is 242552701. The reversal of 242552700 is 7255242.

242552700 is a `hidden beast` number, since 2 + 42 + 552 + 70 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242552701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1335 + ... + 22065.

Almost surely, 2242552700 is an apocalyptic number.

242552700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242552700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409394804).

242552700 is an abundant number, since it is smaller than the sum of its proper divisors (576236908).

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

242552700 is a wasteful number, since it uses less digits than its factorization.

242552700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20764 (or 20754 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 242552700 is about 15574.1035054991. The cubic root of 242552700 is about 623.6420222379.

The spelling of 242552700 in words is "two hundred forty-two million, five hundred fifty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 20731 41462 62193 82924 103655 124386 186579 207310 248772 269503 310965 373158 414620 518275 539006 621930 746316 808509 932895 1036550 1078012 1243860 1347515 1554825 1617018 1865790 2073100 2425527 2695030 3109650 3234036 3731580 4042545 4664475 4851054 5390060 6219300 6737575 8085090 9328950 9702108 12127635 13475150 16170180 18657900 20212725 24255270 26950300 40425450 48510540 60638175 80850900 121276350 242552700