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40404100 = 225211231597
BaseRepresentation
bin1001101000100…
…0010010000100
32211000202000011
42122020102010
540320412400
64002000004
71000300132
oct232102204
984022004
1040404100
1120897220
1211646004
1384a8769
14551a752
1538318ba
hex2688484

40404100 has 72 divisors (see below), whose sum is σ = 99868608. Its totient is φ = 14044800.

The previous prime is 40404097. The next prime is 40404101. The reversal of 40404100 is 140404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40404101) 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, 24502 + ... + 26098.

It is an arithmetic number, because the mean of its divisors is an integer number (1387064).

Almost surely, 240404100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49934304).

40404100 is an abundant number, since it is smaller than the sum of its proper divisors (59464508).

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

40404100 is a wasteful number, since it uses less digits than its factorization.

40404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 40404100 is about 6356.4219494933. The cubic root of 40404100 is about 343.1430015119.

Adding to 40404100 its reverse (140404), we get a palindrome (40544504).

It can be divided in two parts, 40404 and 100, that added together give a palindrome (40504).

The spelling of 40404100 in words is "forty million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 1597 2300 2530 3194 5060 6325 6388 7985 12650 15970 17567 25300 31940 35134 36731 39925 70268 73462 79850 87835 146924 159700 175670 183655 351340 367310 404041 439175 734620 808082 878350 918275 1616164 1756700 1836550 2020205 3673100 4040410 8080820 10101025 20202050 40404100