Search a number
-
+
1896124896 = 25335034363
BaseRepresentation
bin111000100000100…
…1001000111100000
311220010220010101000
41301001021013200
512340401444041
6512052312000
764662536631
oct16101110740
94803803330
101896124896
11893349776
1244b012600
13242aa7ac3
1413db79888
15b16e4bb6
hex710491e0

1896124896 has 96 divisors (see below), whose sum is σ = 5542629120. Its totient is φ = 630640512.

The previous prime is 1896124883. The next prime is 1896124907. The reversal of 1896124896 is 6984216981.

1896124896 is a `hidden beast` number, since 18 + 9 + 612 + 4 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432411 + ... + 436773.

It is an arithmetic number, because the mean of its divisors is an integer number (57735720).

Almost surely, 21896124896 is an apocalyptic number.

1896124896 is a gapful number since it is divisible by the number (16) 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 1896124896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771314560).

1896124896 is an abundant number, since it is smaller than the sum of its proper divisors (3646504224).

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

1896124896 is a wasteful number, since it uses less digits than its factorization.

1896124896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885 (or 4871 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1896124896 is about 43544.5162563554. The cubic root of 1896124896 is about 1237.7197288434.

The spelling of 1896124896 in words is "one billion, eight hundred ninety-six million, one hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 503 864 1006 1509 2012 3018 4024 4363 4527 6036 8048 8726 9054 12072 13089 13581 16096 17452 18108 24144 26178 27162 34904 36216 39267 48288 52356 54324 69808 72432 78534 104712 108648 117801 139616 144864 157068 209424 217296 235602 314136 418848 434592 471204 628272 942408 1256544 1884816 2194589 3769632 4389178 6583767 8778356 13167534 17556712 19751301 26335068 35113424 39502602 52670136 59253903 70226848 79005204 105340272 118507806 158010408 210680544 237015612 316020816 474031224 632041632 948062448 1896124896