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1948401104 = 241311298297
BaseRepresentation
bin111010000100010…
…0011110111010000
312000210021000211212
41310020203313100
512442242313404
6521200555252
766166064456
oct16410436720
95023230755
101948401104
1190a904651
12464622b28
1325087c280
14146aa69d6
15b60be06e
hex74223dd0

1948401104 has 40 divisors (see below), whose sum is σ = 4069505160. Its totient is φ = 898357248.

The previous prime is 1948401097. The next prime is 1948401109. The reversal of 1948401104 is 4011048491.

It can be written as a sum of positive squares in 4 ways, for example, as 171610000 + 1776791104 = 13100^2 + 42152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948401109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230684 + ... + 238980.

It is an arithmetic number, because the mean of its divisors is an integer number (101737629).

Almost surely, 21948401104 is an apocalyptic number.

It is an amenable number.

1948401104 is an abundant number, since it is smaller than the sum of its proper divisors (2121104056).

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

1948401104 is a wasteful number, since it uses less digits than its factorization.

1948401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9447 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1948401104 is about 44140.6966868444. The cubic root of 1948401104 is about 1248.9914219551.

Adding to 1948401104 its reverse (4011048491), we get a palindrome (5959449595).

The spelling of 1948401104 in words is "one billion, nine hundred forty-eight million, four hundred one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1129 2258 4516 8297 9032 14677 16594 18064 29354 33188 58708 66376 107861 117416 132752 215722 234832 431444 862888 1725776 9367313 18734626 37469252 74938504 121775069 149877008 243550138 487100276 974200552 1948401104