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42324048 = 24321323983
BaseRepresentation
bin1010000101110…
…1000001010000
32221122021200100
42201131001100
541313332143
64111052400
71022514504
oct241350120
987567610
1042324048
1121988758
1212211100
1389cb620
14589a304
153ab06d3
hex285d050

42324048 has 120 divisors (see below), whose sum is σ = 133241472. Its totient is φ = 12443904.

The previous prime is 42324047. The next prime is 42324049. The reversal of 42324048 is 84042324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42324047) and next prime (42324049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42324043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42565 + ... + 43547.

Almost surely, 242324048 is an apocalyptic number.

42324048 is a gapful number since it is divisible by the number (48) 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 42324048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66620736).

42324048 is an abundant number, since it is smaller than the sum of its proper divisors (90917424).

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

42324048 is a wasteful number, since it uses less digits than its factorization.

42324048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42324048 is about 6505.6935064603. The cubic root of 42324048 is about 348.4943430211.

The spelling of 42324048 in words is "forty-two million, three hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 983 1104 1196 1656 1794 1872 1966 2392 2691 2949 3312 3588 3932 4784 5382 5898 7176 7864 8847 10764 11796 12779 14352 15728 17694 21528 22609 23592 25558 35388 38337 43056 45218 47184 51116 67827 70776 76674 90436 102232 115011 135654 141552 153348 180872 203481 204464 230022 271308 293917 306696 361744 406962 460044 542616 587834 613392 813924 881751 920088 1085232 1175668 1627848 1763502 1840176 2351336 2645253 3255696 3527004 4702672 5290506 7054008 10581012 14108016 21162024 42324048