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42297264 = 24322391229
BaseRepresentation
bin1010000101011…
…0011110110000
32221120220221100
42201112132300
541312003024
64110324400
71022343432
oct241263660
987526840
1042297264
112196a619
12121b9700
1389bc389
145890652
153aa77c9
hex28567b0

42297264 has 60 divisors (see below), whose sum is σ = 118965600. Its totient is φ = 14028672.

The previous prime is 42297263. The next prime is 42297293. The reversal of 42297264 is 46279224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42297263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33802 + ... + 35030.

It is an arithmetic number, because the mean of its divisors is an integer number (1982760).

Almost surely, 242297264 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 42297264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59482800).

42297264 is an abundant number, since it is smaller than the sum of its proper divisors (76668336).

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

42297264 is a wasteful number, since it uses less digits than its factorization.

42297264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1473 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42297264 is about 6503.6346760869. The cubic root of 42297264 is about 348.4208147506.

The spelling of 42297264 in words is "forty-two million, two hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1229 1434 1912 2151 2458 2868 3687 3824 4302 4916 5736 7374 8604 9832 11061 11472 14748 17208 19664 22122 29496 34416 44244 58992 88488 176976 293731 587462 881193 1174924 1762386 2349848 2643579 3524772 4699696 5287158 7049544 10574316 14099088 21148632 42297264