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401401924 = 22731126597
BaseRepresentation
bin10111111011001…
…110100001000100
31000222022022220221
4113323032201010
51310224330144
6103455234124
712642601000
oct2773164104
91028268827
10401401924
11196643230
12b2518944
1365212741
143b44b700
152538dd84
hex17ece844

401401924 has 48 divisors (see below), whose sum is σ = 893692800. Its totient is φ = 156384480.

The previous prime is 401401921. The next prime is 401401939. The reversal of 401401924 is 429104104.

It is a super-2 number, since 2×4014019242 = 322247009181803552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401401921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1794 + ... + 28390.

It is an arithmetic number, because the mean of its divisors is an integer number (18618600).

Almost surely, 2401401924 is an apocalyptic number.

401401924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401401924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446846400).

401401924 is an abundant number, since it is smaller than the sum of its proper divisors (492290876).

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

401401924 is a wasteful number, since it uses less digits than its factorization.

401401924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26633 (or 26617 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 401401924 is about 20035.0174444646. The cubic root of 401401924 is about 737.6660847438. Note that the first 3 decimals are identical.

The spelling of 401401924 in words is "four hundred one million, four hundred one thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 343 539 686 1078 1372 2156 3773 7546 15092 26597 53194 106388 186179 292567 372358 585134 744716 1170268 1303253 2047969 2606506 4095938 5213012 8191876 9122771 14335783 18245542 28671566 36491084 57343132 100350481 200700962 401401924