Search a number
-
+
100404496 = 2429353613
BaseRepresentation
bin1011111110000…
…00110100010000
320222221002002001
411333000310100
5201200420441
613544003344
72326265323
oct577006420
9228832061
10100404496
1151748425
1229760554
1317a5595a
14d4987ba
158c34731
hex5fc0d10

100404496 has 40 divisors (see below), whose sum is σ = 202141080. Its totient is φ = 48254976.

The previous prime is 100404487. The next prime is 100404509. The reversal of 100404496 is 694404001.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 100400400 = 64^2 + 10020^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163486 + ... + 164098.

It is an arithmetic number, because the mean of its divisors is an integer number (5053527).

Almost surely, 2100404496 is an apocalyptic number.

100404496 is a gapful number since it is divisible by the number (16) 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 100404496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101070540).

100404496 is an abundant number, since it is smaller than the sum of its proper divisors (101736584).

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

100404496 is a wasteful number, since it uses less digits than its factorization.

100404496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 100404496 is about 10020.2043891330. The cubic root of 100404496 is about 464.7838761326.

Adding to 100404496 its reverse (694404001), we get a palindrome (794808497).

It can be divided in two parts, 100 and 404496, that multiplied together give a square (40449600 = 63602).

The spelling of 100404496 in words is "one hundred million, four hundred four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 232 353 464 613 706 1226 1412 2452 2824 4904 5648 9808 10237 17777 20474 35554 40948 71108 81896 142216 163792 216389 284432 432778 865556 1731112 3462224 6275281 12550562 25101124 50202248 100404496