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42301056 = 273715737
BaseRepresentation
bin1010000101011…
…1011010000000
32221121010010210
42201113122000
541312113211
64110354120
71022360460
oct241273200
987533123
1042301056
1121972456
12121bb940
1389c1015
145891ba0
153aa89a6
hex2857680

42301056 has 64 divisors (see below), whose sum is σ = 128422080. Its totient is φ = 12085248.

The previous prime is 42301037. The next prime is 42301073. The reversal of 42301056 is 65010324.

It is a happy number.

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 (21).

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, 5181 + ... + 10556.

It is an arithmetic number, because the mean of its divisors is an integer number (2006595).

Almost surely, 242301056 is an apocalyptic number.

It is an amenable number.

42301056 is an abundant number, since it is smaller than the sum of its proper divisors (86121024).

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

42301056 is a wasteful number, since it uses less digits than its factorization.

42301056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15761 (or 15749 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 42301056 is about 6503.9261988433. The cubic root of 42301056 is about 348.4312265529.

The spelling of 42301056 in words is "forty-two million, three hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 15737 31474 47211 62948 94422 110159 125896 188844 220318 251792 330477 377688 440636 503584 660954 755376 881272 1007168 1321908 1510752 1762544 2014336 2643816 3021504 3525088 5287632 6043008 7050176 10575264 14100352 21150528 42301056