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842506974 = 233235312799
BaseRepresentation
bin110010001101111…
…010001011011110
32011201022210022000
4302031322023132
53211140210344
6215333503130
726610122361
oct6215721336
92151283260
10842506974
113a2633a61
121b61a1aa6
1310571684a
147dc720d8
154de71a69
hex3237a2de

842506974 has 64 divisors (see below), whose sum is σ = 1990656000. Its totient is φ = 263536416.

The previous prime is 842506969. The next prime is 842507011. The reversal of 842506974 is 479605248.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59427 + ... + 72225.

It is an arithmetic number, because the mean of its divisors is an integer number (31104000).

Almost surely, 2842506974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842506974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995328000).

842506974 is an abundant number, since it is smaller than the sum of its proper divisors (1148149026).

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

842506974 is a wasteful number, since it uses less digits than its factorization.

842506974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12886 (or 12880 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 842506974 is about 29025.9706814432. The cubic root of 842506974 is about 944.4765253980.

The spelling of 842506974 in words is "eight hundred forty-two million, five hundred six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 106 138 159 207 318 414 477 621 954 1219 1242 1431 2438 2862 3657 7314 10971 12799 21942 25598 32913 38397 65826 76794 115191 230382 294377 345573 588754 678347 691146 883131 1356694 1766262 2035041 2649393 4070082 5298786 6105123 7948179 12210246 15601981 15896358 18315369 31203962 36630738 46805943 93611886 140417829 280835658 421253487 842506974