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401993802 = 232731971061
BaseRepresentation
bin10111111101011…
…111000001001010
31001000102101211100
4113331133001022
51310402300202
6103520042230
712650614410
oct2775370112
91030371740
10401993802
11196a07991
12b2763376
136538bc72
143b5632b0
152545941c
hex17f5f04a

401993802 has 96 divisors (see below), whose sum is σ = 1039094784. Its totient is φ = 109900800.

The previous prime is 401993797. The next prime is 401993803. The reversal of 401993802 is 208399104.

It is not an unprimeable number, because it can be changed into a prime (401993803) 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 47 ways as a sum of consecutive naturals, for example, 378352 + ... + 379412.

It is an arithmetic number, because the mean of its divisors is an integer number (10823904).

Almost surely, 2401993802 is an apocalyptic number.

401993802 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 401993802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519547392).

401993802 is an abundant number, since it is smaller than the sum of its proper divisors (637100982).

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

401993802 is a wasteful number, since it uses less digits than its factorization.

401993802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 401993802 is about 20049.7830910960. The cubic root of 401993802 is about 738.0284762185.

The spelling of 401993802 in words is "four hundred one million, nine hundred ninety-three thousand, eight hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 97 126 186 194 217 279 291 434 558 582 651 679 873 1061 1302 1358 1746 1953 2037 2122 3007 3183 3906 4074 6014 6111 6366 7427 9021 9549 12222 14854 18042 19098 21049 22281 27063 32891 42098 44562 54126 63147 65782 66843 98673 102917 126294 133686 189441 197346 205834 230237 296019 308751 378882 460474 592038 617502 690711 720419 926253 1381422 1440838 1852506 2072133 2161257 3190427 4144266 4322514 6380854 6483771 9571281 12967542 19142562 22332989 28713843 44665978 57427686 66998967 133997934 200996901 401993802