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42726376 = 23711139499
BaseRepresentation
bin1010001011111…
…1001111101000
32222101201120101
42202333033220
541414221001
64123435144
71026111460
oct242771750
988351511
1042726376
1122132a60
1212385ab4
138b0c7a4
145962ba0
153b3ea01
hex28bf3e8

42726376 has 64 divisors (see below), whose sum is σ = 100800000. Its totient is φ = 16493760.

The previous prime is 42726371. The next prime is 42726403. The reversal of 42726376 is 67362724.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42726371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85375 + ... + 85873.

It is an arithmetic number, because the mean of its divisors is an integer number (1575000).

Almost surely, 242726376 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 42726376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400000).

42726376 is an abundant number, since it is smaller than the sum of its proper divisors (58073624).

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

42726376 is a wasteful number, since it uses less digits than its factorization.

42726376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

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

The square root of 42726376 is about 6536.5415932280. The cubic root of 42726376 is about 349.5951127510.

It can be divided in two parts, 4272 and 6376, that added together give a cube (10648 = 223).

The spelling of 42726376 in words is "forty-two million, seven hundred twenty-six thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 139 154 278 308 499 556 616 973 998 1112 1529 1946 1996 3058 3493 3892 3992 5489 6116 6986 7784 10703 10978 12232 13972 21406 21956 27944 38423 42812 43912 69361 76846 85624 138722 153692 277444 307384 485527 554888 762971 971054 1525942 1942108 3051884 3884216 5340797 6103768 10681594 21363188 42726376