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1098149328 = 243261125017
BaseRepresentation
bin100000101110100…
…0110110111010000
32211112100202200100
41001131012313100
54222111234303
6300545052400
736133054353
oct10135066720
92745322610
101098149328
11513970931
12267927100
13146683503
14a5bba29a
156661c8a3
hex41746dd0

1098149328 has 60 divisors (see below), whose sum is σ = 3123699748. Its totient is φ = 360046080.

The previous prime is 1098149321. The next prime is 1098149387. The reversal of 1098149328 is 8239418901.

It can be written as a sum of positive squares in 2 ways, for example, as 43718544 + 1054430784 = 6612^2 + 32472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098149321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53725 + ... + 71292.

Almost surely, 21098149328 is an apocalyptic number.

1098149328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1098149328 is an abundant number, since it is smaller than the sum of its proper divisors (2025550420).

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

1098149328 is a wasteful number, since it uses less digits than its factorization.

1098149328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125092 (or 125083 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1098149328 is about 33138.3362286039. The cubic root of 1098149328 is about 1031.7008777940.

It can be divided in two parts, 1098 and 149328, that added together give a triangular number (150426 = T548).

The spelling of 1098149328 in words is "one billion, ninety-eight million, one hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 125017 250034 375051 500068 750102 1000136 1125153 1500204 2000272 2250306 3000408 4500612 6000816 7626037 9001224 15252074 18002448 22878111 30504148 45756222 61008296 68634333 91512444 122016592 137268666 183024888 274537332 366049776 549074664 1098149328