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42242352 = 2432383461
BaseRepresentation
bin1010000100100…
…1000100110000
32221111010121120
42201021010300
541303223402
64105222240
71022024355
oct241110460
987433546
1042242352
1121932339
1212191980
1389a0399
14587862c
153a963bc
hex2849130

42242352 has 80 divisors (see below), whose sum is σ = 115492608. Its totient is φ = 13277440.

The previous prime is 42242351. The next prime is 42242363. The reversal of 42242352 is 25324224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42242351) 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, 91402 + ... + 91862.

Almost surely, 242242352 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 42242352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304).

42242352 is an abundant number, since it is smaller than the sum of its proper divisors (73250256).

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

42242352 is a wasteful number, since it uses less digits than its factorization.

42242352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its digits is 3840, while the sum is 24.

The square root of 42242352 is about 6499.4116656817. The cubic root of 42242352 is about 348.2699715087.

Adding to 42242352 its reverse (25324224), we get a palindrome (67566576).

The spelling of 42242352 in words is "forty-two million, two hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 184 249 276 332 368 461 498 552 664 922 996 1104 1328 1383 1844 1909 1992 2766 3688 3818 3984 5532 5727 7376 7636 10603 11064 11454 15272 21206 22128 22908 30544 31809 38263 42412 45816 63618 76526 84824 91632 114789 127236 153052 169648 229578 254472 306104 459156 508944 612208 880049 918312 1760098 1836624 2640147 3520196 5280294 7040392 10560588 14080784 21121176 42242352