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1604197872 = 24342942683
BaseRepresentation
bin101111110011110…
…0001110111110000
311010210120200210000
41133213201313300
511241133312442
6423103310000
754516312504
oct13747416760
94123520700
101604197872
11753589672
123892ab300
131c7475714
141130a8304
1595c7cd4c
hex5f9e1df0

1604197872 has 100 divisors (see below), whose sum is σ = 4803230520. Its totient is φ = 516281472.

The previous prime is 1604197871. The next prime is 1604197919. The reversal of 1604197872 is 2787914061.

It is a happy number.

1604197872 is a `hidden beast` number, since 160 + 419 + 7 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604197871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16243 + ... + 58925.

Almost surely, 21604197872 is an apocalyptic number.

1604197872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1604197872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401615260).

1604197872 is an abundant number, since it is smaller than the sum of its proper divisors (3199032648).

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

1604197872 is a wasteful number, since it uses less digits than its factorization.

1604197872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42732 (or 42717 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1604197872 is about 40052.4390268558. The cubic root of 1604197872 is about 1170.6290896961.

The spelling of 1604197872 in words is "one billion, six hundred four million, one hundred ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 6264 9396 12528 18792 37584 42683 85366 128049 170732 256098 341464 384147 512196 682928 768294 1024392 1152441 1237807 1536588 2048784 2304882 2475614 3073176 3457323 3713421 4609764 4951228 6146352 6914646 7426842 9219528 9902456 11140263 13829292 14853684 18439056 19804912 22280526 27658584 29707368 33420789 44561052 55317168 59414736 66841578 89122104 100262367 133683156 178244208 200524734 267366312 401049468 534732624 802098936 1604197872