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42293424 = 2433143661
BaseRepresentation
bin1010000101010…
…1100010110000
32221120201200010
42201111202300
541311342144
64110254520
71022326305
oct241254260
987521603
1042293424
1121967748
12121b7440
1389ba6c4
14588d0ac
153aa65b9
hex28558b0

42293424 has 80 divisors (see below), whose sum is σ = 115579904. Its totient is φ = 13305600.

The previous prime is 42293387. The next prime is 42293429. The reversal of 42293424 is 42439224.

42293424 = 11532 + 11542 + ... + 11832.

It is a junction number, because it is equal to n+sod(n) for n = 42293391 and 42293400.

It is not an unprimeable number, because it can be changed into a prime (42293429) 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, 63654 + ... + 64314.

Almost surely, 242293424 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 42293424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57789952).

42293424 is an abundant number, since it is smaller than the sum of its proper divisors (73286480).

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

42293424 is a wasteful number, since it uses less digits than its factorization.

42293424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 42293424 is about 6503.3394498519. The cubic root of 42293424 is about 348.4102705192.

The spelling of 42293424 in words is "forty-two million, two hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 48 62 86 93 124 129 172 186 248 258 344 372 496 516 661 688 744 1032 1322 1333 1488 1983 2064 2644 2666 3966 3999 5288 5332 7932 7998 10576 10664 15864 15996 20491 21328 28423 31728 31992 40982 56846 61473 63984 81964 85269 113692 122946 163928 170538 227384 245892 327856 341076 454768 491784 682152 881113 983568 1364304 1762226 2643339 3524452 5286678 7048904 10573356 14097808 21146712 42293424