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42744856 = 23721123431
BaseRepresentation
bin1010001100001…
…1110000011000
32222102122220211
42203003300120
541420313411
64124100504
71026216400
oct243036030
988378824
1042744856
1122145930
1212394734
138b1801b
145969800
153b45221
hex28c3c18

42744856 has 96 divisors (see below), whose sum is σ = 106375680. Its totient is φ = 15892800.

The previous prime is 42744853. The next prime is 42744859. The reversal of 42744856 is 65844724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42744853) and next prime (42744859).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42744853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98961 + ... + 99391.

It is an arithmetic number, because the mean of its divisors is an integer number (1108080).

Almost surely, 242744856 is an apocalyptic number.

42744856 is a gapful number since it is divisible by the number (46) 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 42744856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53187840).

42744856 is an abundant number, since it is smaller than the sum of its proper divisors (63630824).

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

42744856 is a wasteful number, since it uses less digits than its factorization.

42744856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The square root of 42744856 is about 6537.9550319653. The cubic root of 42744856 is about 349.6455077457.

The spelling of 42744856 in words is "forty-two million, seven hundred forty-four thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 49 56 77 88 92 98 154 161 184 196 253 308 322 392 431 506 539 616 644 862 1012 1078 1127 1288 1724 1771 2024 2156 2254 3017 3448 3542 4312 4508 4741 6034 7084 9016 9482 9913 12068 12397 14168 18964 19826 21119 24136 24794 33187 37928 39652 42238 49588 66374 69391 79304 84476 99176 109043 132748 138782 168952 218086 232309 265496 277564 436172 464618 485737 555128 763301 872344 929236 971474 1526602 1858472 1942948 3053204 3885896 5343107 6106408 10686214 21372428 42744856