Search a number
-
+
242148672 = 2632420397
BaseRepresentation
bin11100110111011…
…10010101000000
3121212122102112100
432123232111000
5443442224142
640010030400
76000141543
oct1633562500
9555572470
10242148672
11114760977
1269118400
133b223b4c
142423485a
15163d2b4c
hexe6ee540

242148672 has 42 divisors (see below), whose sum is σ = 694077098. Its totient is φ = 80716032.

The previous prime is 242148649. The next prime is 242148701. The reversal of 242148672 is 276841242.

242148672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 143424576 + 98724096 = 11976^2 + 9936^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 209623 + ... + 210774.

Almost surely, 2242148672 is an apocalyptic number.

It is an amenable number.

242148672 is an abundant number, since it is smaller than the sum of its proper divisors (451928426).

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

242148672 is a wasteful number, since it uses less digits than its factorization.

242148672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420415 (or 420402 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 242148672 is about 15561.1269514775. The cubic root of 242148672 is about 623.2955561258.

The spelling of 242148672 in words is "two hundred forty-two million, one hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 420397 840794 1261191 1681588 2522382 3363176 3783573 5044764 6726352 7567146 10089528 13452704 15134292 20179056 26905408 30268584 40358112 60537168 80716224 121074336 242148672