Search a number
-
+
401649822 = 232712892473
BaseRepresentation
bin10111111100001…
…011000010011110
31000222202220222100
4113330023002132
51310310243242
6103504425530
712644652510
oct2774130236
91028686870
10401649822
111967a2502
12b26182a6
136529b522
143b4b3bb0
15253dc54c
hex17f0b09e

401649822 has 48 divisors (see below), whose sum is σ = 995735520. Its totient is φ = 114621696.

The previous prime is 401649821. The next prime is 401649823. The reversal of 401649822 is 228946104.

401649822 is a `hidden beast` number, since 4 + 0 + 1 + 649 + 8 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (401649821) and next prime (401649823).

It is a super-2 number, since 2×4016498222 = 322645159025263368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401649821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161178 + ... + 163650.

It is an arithmetic number, because the mean of its divisors is an integer number (20744490).

Almost surely, 2401649822 is an apocalyptic number.

401649822 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

401649822 is an abundant number, since it is smaller than the sum of its proper divisors (594085698).

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

401649822 is a wasteful number, since it uses less digits than its factorization.

401649822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 401649822 is about 20041.2031075981. The cubic root of 401649822 is about 737.8179095560.

The spelling of 401649822 in words is "four hundred one million, six hundred forty-nine thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1289 2473 2578 3867 4946 7419 7734 9023 11601 14838 17311 18046 22257 23202 27069 34622 44514 51933 54138 81207 103866 155799 162414 311598 3187697 6375394 9563091 19126182 22313879 28689273 44627758 57378546 66941637 133883274 200824911 401649822