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242488152 = 23328340577
BaseRepresentation
bin11100111010000…
…01001101011000
3121220021200012200
432131001031120
5444034110102
640021210200
76003054354
oct1635011530
9556250180
10242488152
11114972a35
1269260960
133b31251a
14242c2464
151644d51c
hexe741358

242488152 has 48 divisors (see below), whose sum is σ = 664667640. Its totient is φ = 79853568.

The previous prime is 242488151. The next prime is 242488157. The reversal of 242488152 is 251884242.

242488152 is a `hidden beast` number, since 2 + 424 + 88 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242488151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14313 + ... + 26264.

Almost surely, 2242488152 is an apocalyptic number.

It is an amenable number.

242488152 is an abundant number, since it is smaller than the sum of its proper divisors (422179488).

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

242488152 is a wasteful number, since it uses less digits than its factorization.

242488152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40672 (or 40665 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 242488152 is about 15572.0310813972. The cubic root of 242488152 is about 623.5866962315.

It can be divided in two parts, 24248 and 8152, that added together give a square (32400 = 1802).

The spelling of 242488152 in words is "two hundred forty-two million, four hundred eighty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 40577 81154 121731 162308 243462 324616 365193 486924 730386 973848 1460772 2921544 3367891 6735782 10103673 13471564 20207346 26943128 30311019 40414692 60622038 80829384 121244076 242488152