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401062112 = 251129101389
BaseRepresentation
bin10111111001111…
…011100011100000
31000221200001210022
4113321323203200
51310132441422
6103444053012
712636654203
oct2771734340
91027601708
10401062112
111964309a0
12b2394168
1365123b79
143b39d93a
1525323342
hex17e7b8e0

401062112 has 96 divisors (see below), whose sum is σ = 902210400. Its totient is φ = 173824000.

The previous prime is 401062111. The next prime is 401062169. The reversal of 401062112 is 211260104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401062111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1030814 + ... + 1031202.

It is an arithmetic number, because the mean of its divisors is an integer number (9398025).

Almost surely, 2401062112 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 401062112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451105200).

401062112 is an abundant number, since it is smaller than the sum of its proper divisors (501148288).

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

401062112 is a wasteful number, since it uses less digits than its factorization.

401062112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 401062112 is about 20026.5351970829. The cubic root of 401062112 is about 737.4578657150.

The spelling of 401062112 in words is "four hundred one million, sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 101 116 176 202 232 319 352 389 404 464 638 778 808 928 1111 1276 1556 1616 2222 2552 2929 3112 3232 4279 4444 5104 5858 6224 8558 8888 10208 11281 11716 12448 17116 17776 22562 23432 32219 34232 35552 39289 45124 46864 64438 68464 78578 90248 93728 124091 128876 136928 157156 180496 248182 257752 314312 360992 432179 496364 515504 628624 864358 992728 1031008 1139381 1257248 1728716 1985456 2278762 3457432 3970912 4557524 6914864 9115048 12533191 13829728 18230096 25066382 36460192 50132764 100265528 200531056 401062112