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406247142 = 23731091811
BaseRepresentation
bin11000001101101…
…101011011100110
31001022102111022110
4120031231123212
51312444402032
6104151141450
713032021000
oct3015553346
91038374273
10406247142
11199352544
12b4074886
136621ac32
143bd4d370
15259e97cc
hex1836d6e6

406247142 has 64 divisors (see below), whose sum is σ = 956736000. Its totient is φ = 114942240.

The previous prime is 406247119. The next prime is 406247143. The reversal of 406247142 is 241742604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406247143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223417 + ... + 225227.

It is an arithmetic number, because the mean of its divisors is an integer number (14949000).

Almost surely, 2406247142 is an apocalyptic number.

406247142 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 406247142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478368000).

406247142 is an abundant number, since it is smaller than the sum of its proper divisors (550488858).

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

406247142 is a wasteful number, since it uses less digits than its factorization.

406247142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 406247142 is about 20155.5734723674. The cubic root of 406247142 is about 740.6222803155.

Adding to 406247142 its reverse (241742604), we get a palindrome (647989746).

The spelling of 406247142 in words is "four hundred six million, two hundred forty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 109 147 218 294 327 343 654 686 763 1029 1526 1811 2058 2289 3622 4578 5341 5433 10682 10866 12677 16023 25354 32046 37387 38031 74774 76062 88739 112161 177478 197399 224322 266217 394798 532434 592197 621173 1184394 1242346 1381793 1863519 2763586 3727038 4145379 8290758 9672551 19345102 29017653 58035306 67707857 135415714 203123571 406247142