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401932044 = 22348211511
BaseRepresentation
bin10111111101001…
…111111100001100
31001000022021010000
4113331033330030
51310343311134
6103514444300
712650236353
oct2775177414
91030267100
10401932044
11196975548
12b2733690
1365369b17
143b54899a
1525445e99
hex17f4ff0c

401932044 has 60 divisors (see below), whose sum is σ = 1052705808. Its totient is φ = 133725600.

The previous prime is 401932033. The next prime is 401932049. The reversal of 401932044 is 440239104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 401931999 and 401932017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401932049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 265249 + ... + 266759.

Almost surely, 2401932044 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 401932044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526352904).

401932044 is an abundant number, since it is smaller than the sum of its proper divisors (650773764).

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

401932044 is a wasteful number, since it uses less digits than its factorization.

401932044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 401932044 is about 20048.2429155275. The cubic root of 401932044 is about 737.9906800330.

It can be divided in two parts, 4019 and 32044, that added together give a palindrome (36063).

The spelling of 401932044 in words is "four hundred one million, nine hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 821 1511 1642 2463 3022 3284 4533 4926 6044 7389 9066 9852 13599 14778 18132 22167 27198 29556 40797 44334 54396 66501 81594 88668 122391 133002 163188 244782 266004 489564 1240531 2481062 3721593 4962124 7443186 11164779 14886372 22329558 33494337 44659116 66988674 100483011 133977348 200966022 401932044