Search a number
-
+
406974128 = 24114749199
BaseRepresentation
bin11000010000011…
…110111010110000
31001100210102112212
4120100132322300
51313141133003
6104214511252
713041136331
oct3020367260
91040712485
10406974128
111997a9760
12b4365528
1366413ac2
143c09c288
1525adedd8
hex1841eeb0

406974128 has 40 divisors (see below), whose sum is σ = 878515200. Its totient is φ = 181048640.

The previous prime is 406974119. The next prime is 406974131. The reversal of 406974128 is 821479604.

It is a super-2 number, since 2×4069741282 = 331255881722720768, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16328 + ... + 32871.

It is an arithmetic number, because the mean of its divisors is an integer number (21962880).

Almost surely, 2406974128 is an apocalyptic number.

It is an amenable number.

406974128 is an abundant number, since it is smaller than the sum of its proper divisors (471541072).

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

406974128 is a wasteful number, since it uses less digits than its factorization.

406974128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49265 (or 49259 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 406974128 is about 20173.5997779276. The cubic root of 406974128 is about 741.0638023355.

The spelling of 406974128 in words is "four hundred six million, nine hundred seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 2068 4136 8272 49199 98398 196796 393592 541189 787184 1082378 2164756 2312353 4329512 4624706 8659024 9249412 18498824 25435883 36997648 50871766 101743532 203487064 406974128