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1328955498 = 23413248541
BaseRepresentation
bin100111100110110…
…0100000001101010
310102121122221020000
41033031210001222
510210203033443
6335512043430
744634635553
oct11715440152
93377587200
101328955498
11622184a32
12311093576
13182435700
14c86db32a
157ba0e8d3
hex4f36406a

1328955498 has 60 divisors (see below), whose sum is σ = 3224596518. Its totient is φ = 408900960.

The previous prime is 1328955497. The next prime is 1328955517. The reversal of 1328955498 is 8945598231.

1328955498 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 95 + 549 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 257506209 + 1071449289 = 16047^2 + 32733^2 .

It is a super-2 number, since 2×13289554982 = 3532245431328856008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1328955491) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3108 + ... + 51648.

Almost surely, 21328955498 is an apocalyptic number.

1328955498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328955498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612298259).

1328955498 is an abundant number, since it is smaller than the sum of its proper divisors (1895641020).

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

1328955498 is a wasteful number, since it uses less digits than its factorization.

1328955498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48581 (or 48559 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 1328955498 is about 36454.8419006310. The cubic root of 1328955498 is about 1099.4364876795.

The spelling of 1328955498 in words is "one billion, three hundred twenty-eight million, nine hundred fifty-five thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 4563 9126 13689 27378 48541 97082 145623 291246 436869 631033 873738 1262066 1310607 1893099 2621214 3786198 3931821 5679297 7863642 8203429 11358594 16406858 17037891 24610287 34075782 49220574 51113673 73830861 102227346 147661722 221492583 442985166 664477749 1328955498