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42261324 = 22372411753
BaseRepresentation
bin1010000100110…
…1101101001100
32221112002122020
42201031231030
541304330244
64105450140
71022133600
oct241155514
987462566
1042261324
1121945616
12121a0950
1389a8c01
145881500
153a9bd19
hex284db4c

42261324 has 72 divisors (see below), whose sum is σ = 117574128. Its totient is φ = 11773440.

The previous prime is 42261229. The next prime is 42261341. The reversal of 42261324 is 42316224.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42261294 and 42261303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23232 + ... + 24984.

It is an arithmetic number, because the mean of its divisors is an integer number (1632974).

Almost surely, 242261324 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 42261324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58787064).

42261324 is an abundant number, since it is smaller than the sum of its proper divisors (75312804).

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

42261324 is a wasteful number, since it uses less digits than its factorization.

42261324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1806 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 42261324 is about 6500.8710185636. The cubic root of 42261324 is about 348.3221023574.

Adding to 42261324 its reverse (42316224), we get a palindrome (84577548).

The spelling of 42261324 in words is "forty-two million, two hundred sixty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 574 588 861 1148 1722 1753 2009 3444 3506 4018 5259 6027 7012 8036 10518 12054 12271 21036 24108 24542 36813 49084 71873 73626 85897 143746 147252 171794 215619 257691 287492 343588 431238 503111 515382 862476 1006222 1030764 1509333 2012444 3018666 3521777 6037332 7043554 10565331 14087108 21130662 42261324