Search a number
-
+
1048410104 = 237236712149
BaseRepresentation
bin111110011111010…
…111011111111000
32201001202202021212
4332133113133320
54121343110404
6252011022252
734660224140
oct7637273770
92631682255
101048410104
11498889035
1225313a988
13139289a11
149d34d920
156209506e
hex3e7d77f8

1048410104 has 64 divisors (see below), whose sum is σ = 2379456000. Its totient is φ = 423333504.

The previous prime is 1048410091. The next prime is 1048410113. The reversal of 1048410104 is 4010148401.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 1048410104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80222 + ... + 92370.

It is an arithmetic number, because the mean of its divisors is an integer number (37179000).

Almost surely, 21048410104 is an apocalyptic number.

1048410104 is a gapful number since it is divisible by the number (14) 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 1048410104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189728000).

1048410104 is an abundant number, since it is smaller than the sum of its proper divisors (1331045896).

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

1048410104 is a wasteful number, since it uses less digits than its factorization.

1048410104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12252 (or 12248 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 1048410104 is about 32379.1615703681. The cubic root of 1048410104 is about 1015.8830930647.

Adding to 1048410104 its reverse (4010148401), we get a palindrome (5058558505).

The spelling of 1048410104 in words is "one billion, forty-eight million, four hundred ten thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 56 67 92 134 161 184 268 322 469 536 644 938 1288 1541 1876 3082 3752 6164 10787 12149 12328 21574 24298 43148 48596 85043 86296 97192 170086 279427 340172 558854 680344 813983 1117708 1627966 1955989 2235416 3255932 3911978 5697881 6511864 7823956 11395762 15647912 18721609 22791524 37443218 45583048 74886436 131051263 149772872 262102526 524205052 1048410104