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42744256 = 261722311
BaseRepresentation
bin1010001100001…
…1100111000000
32222102122002121
42203003213000
541420304011
64124054024
71026214552
oct243034700
988378077
1042744256
1122145435
1212394314
138b17979
1459694d2
153b44e71
hex28c39c0

42744256 has 42 divisors (see below), whose sum is σ = 90142568. Its totient is φ = 20106240.

The previous prime is 42744227. The next prime is 42744271. The reversal of 42744256 is 65244724.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17341 + ... + 19651.

Almost surely, 242744256 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 42744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45071284).

42744256 is an abundant number, since it is smaller than the sum of its proper divisors (47398312).

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

42744256 is a wasteful number, since it uses less digits than its factorization.

42744256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2330 counting only the distinct ones).

The product of its digits is 53760, while the sum is 34.

The square root of 42744256 is about 6537.9091458967. The cubic root of 42744256 is about 349.6438717728.

The spelling of 42744256 in words is "forty-two million, seven hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2311 2312 4622 4624 9244 9248 18488 18496 36976 39287 73952 78574 147904 157148 314296 628592 667879 1257184 1335758 2514368 2671516 5343032 10686064 21372128 42744256