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42429648 = 2434361337
BaseRepresentation
bin1010000111011…
…0110011010000
32221211122112110
42201312303100
541330222043
64113225320
71023434412
oct241666320
987748473
1042429648
1121a50028
1212262240
138a37701
1458c69b2
153ad1b33
hex2876cd0

42429648 has 80 divisors (see below), whose sum is σ = 114335936. Its totient is φ = 13547520.

The previous prime is 42429619. The next prime is 42429649. The reversal of 42429648 is 84692424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42429649) 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, 125736 + ... + 126072.

Almost surely, 242429648 is an apocalyptic number.

42429648 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 42429648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57167968).

42429648 is an abundant number, since it is smaller than the sum of its proper divisors (71906288).

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

42429648 is a wasteful number, since it uses less digits than its factorization.

42429648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 42429648 is about 6513.8044183104. The cubic root of 42429648 is about 348.7839375512.

The spelling of 42429648 in words is "forty-two million, four hundred twenty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 61 86 122 129 172 183 244 258 337 344 366 488 516 674 688 732 976 1011 1032 1348 1464 2022 2064 2623 2696 2928 4044 5246 5392 7869 8088 10492 14491 15738 16176 20557 20984 28982 31476 41114 41968 43473 57964 61671 62952 82228 86946 115928 123342 125904 164456 173892 231856 246684 328912 347784 493368 695568 883951 986736 1767902 2651853 3535804 5303706 7071608 10607412 14143216 21214824 42429648