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638881380 = 223253549341
BaseRepresentation
bin100110000101001…
…000111001100100
31122112011112111100
4212011020321210
52302023201010
6143221240100
721555254634
oct4605107144
91575145440
10638881380
112a86a5045
12159b63030
13a2490227
1460bc86c4
153b14d2c0
hex26148e64

638881380 has 36 divisors (see below), whose sum is σ = 1937940732. Its totient is φ = 170368320.

The previous prime is 638881361. The next prime is 638881409. The reversal of 638881380 is 83188836.

638881380 is a `hidden beast` number, since 638 + 8 + 8 + 1 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 443776356 + 195105024 = 21066^2 + 13968^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1774491 + ... + 1774850.

It is an arithmetic number, because the mean of its divisors is an integer number (53831687).

Almost surely, 2638881380 is an apocalyptic number.

638881380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

638881380 is an abundant number, since it is smaller than the sum of its proper divisors (1299059352).

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

638881380 is a wasteful number, since it uses less digits than its factorization.

638881380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549356 (or 3549351 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 638881380 is about 25276.1029432941. The cubic root of 638881380 is about 861.2715011804.

The spelling of 638881380 in words is "six hundred thirty-eight million, eight hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3549341 7098682 10648023 14197364 17746705 21296046 31944069 35493410 42592092 53240115 63888138 70986820 106480230 127776276 159720345 212960460 319440690 638881380