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2038131328 = 2789178909
BaseRepresentation
bin111100101111011…
…0110101010000000
312021001002210120111
41321132312222000
513133230200303
6534124121104
7101335554562
oct17136665200
95231083514
102038131328
11956521262
1248a696194
1326633848c
14154983332
15bdde5b6d
hex797b6a80

2038131328 has 32 divisors (see below), whose sum is σ = 4105984500. Its totient is φ = 1007609856.

The previous prime is 2038131313. The next prime is 2038131379. The reversal of 2038131328 is 8231318302.

It can be written as a sum of positive squares in 2 ways, for example, as 2029322304 + 8809024 = 45048^2 + 2968^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2038131328.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78063 + ... + 100846.

Almost surely, 22038131328 is an apocalyptic number.

It is an amenable number.

2038131328 is an abundant number, since it is smaller than the sum of its proper divisors (2067853172).

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

2038131328 is an equidigital number, since it uses as much as digits as its factorization.

2038131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179012 (or 179000 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2038131328 is about 45145.6678763312. The cubic root of 2038131328 is about 1267.8777725198.

The spelling of 2038131328 in words is "two billion, thirty-eight million, one hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 5696 11392 178909 357818 715636 1431272 2862544 5725088 11450176 15922901 22900352 31845802 63691604 127383208 254766416 509532832 1019065664 2038131328