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42496896 = 273138513
BaseRepresentation
bin1010001000011…
…1001110000000
32221222001210010
42202013032000
541334400041
64114504520
71024134441
oct242071600
987861703
1042496896
1121a96602
1212295140
138a5c1c0
1459032c8
153ae6a16
hex2887380

42496896 has 64 divisors (see below), whose sum is σ = 121579920. Its totient is φ = 13074432.

The previous prime is 42496879. The next prime is 42496963. The reversal of 42496896 is 69869424.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 736 + ... + 9248.

Almost surely, 242496896 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 42496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60789960).

42496896 is an abundant number, since it is smaller than the sum of its proper divisors (79083024).

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

42496896 is a wasteful number, since it uses less digits than its factorization.

42496896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8543 (or 8531 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 42496896 is about 6518.9643349231. The cubic root of 42496896 is about 348.9681062690.

The spelling of 42496896 in words is "forty-two million, four hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 8513 17026 25539 34052 51078 68104 102156 110669 136208 204312 221338 272416 332007 408624 442676 544832 664014 817248 885352 1089664 1328028 1634496 1770704 2656056 3268992 3541408 5312112 7082816 10624224 14165632 21248448 42496896