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42915648 = 263832693
BaseRepresentation
bin1010001110110…
…1011101000000
32222202100012110
42203231131000
541441300043
64131455320
71030530336
oct243553500
988670173
1042915648
1122252186
1212457540
138b77999
1459b1b56
153b7ab33
hex28ed740

42915648 has 56 divisors (see below), whose sum is σ = 114958368. Its totient is φ = 14127616.

The previous prime is 42915629. The next prime is 42915683. The reversal of 42915648 is 84651924.

It is a super-3 number, since 3×429156483 (a number of 24 digits) contains 333 as substring.

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, 14590 + ... + 17282.

It is an arithmetic number, because the mean of its divisors is an integer number (2052828).

Almost surely, 242915648 is an apocalyptic number.

42915648 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 42915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57479184).

42915648 is an abundant number, since it is smaller than the sum of its proper divisors (72042720).

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

42915648 is a wasteful number, since it uses less digits than its factorization.

42915648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2781 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 42915648 is about 6551.0035872376. The cubic root of 42915648 is about 350.1105718672.

The spelling of 42915648 in words is "forty-two million, nine hundred fifteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 2693 3984 5312 5386 7968 8079 10772 15936 16158 21544 32316 43088 64632 86176 129264 172352 223519 258528 447038 517056 670557 894076 1341114 1788152 2682228 3576304 5364456 7152608 10728912 14305216 21457824 42915648