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42267376 = 2423331347
BaseRepresentation
bin1010000100111…
…1001011110000
32221112101221101
42201033023300
541310024001
64105534144
71022160334
oct241171360
987471841
1042267376
112194a118
12121a4354
1389ab8a8
1458837c4
153a9da01
hex284f2f0

42267376 has 40 divisors (see below), whose sum is σ = 85958784. Its totient is φ = 20095680.

The previous prime is 42267373. The next prime is 42267391. The reversal of 42267376 is 67376224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42267373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121635 + ... + 121981.

Almost surely, 242267376 is an apocalyptic number.

42267376 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 42267376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42979392).

42267376 is an abundant number, since it is smaller than the sum of its proper divisors (43691408).

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

42267376 is a wasteful number, since it uses less digits than its factorization.

42267376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its digits is 84672, while the sum is 37.

The square root of 42267376 is about 6501.3364779867. The cubic root of 42267376 is about 348.3387286289.

The spelling of 42267376 in words is "forty-two million, two hundred sixty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 92 184 331 347 368 662 694 1324 1388 2648 2776 5296 5552 7613 7981 15226 15962 30452 31924 60904 63848 114857 121808 127696 229714 459428 918856 1837712 2641711 5283422 10566844 21133688 42267376