Search a number
-
+
2331489792 = 29313111587
BaseRepresentation
bin1000101011110111…
…1011011000000000
320000111002221201210
42022331323120000
514233330133132
61023203530120
7111530223222
oct21275733000
96014087653
102331489792
11a97079875
12550989940
132b204c278
14181908412
15d9a41bcc
hex8af7b600

2331489792 has 80 divisors (see below), whose sum is σ = 6259188672. Its totient is φ = 771164160.

The previous prime is 2331489781. The next prime is 2331489827. The reversal of 2331489792 is 2979841332.

It is a super-4 number, since 4×23314897924 (a number of 39 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195423 + ... + 207009.

Almost surely, 22331489792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331489792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129594336).

2331489792 is an abundant number, since it is smaller than the sum of its proper divisors (3927698880).

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

2331489792 is a wasteful number, since it uses less digits than its factorization.

2331489792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11739 (or 11723 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 2331489792 is about 48285.5029175424. The cubic root of 2331489792 is about 1326.0029983848.

The spelling of 2331489792 in words is "two billion, three hundred thirty-one million, four hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 512 524 768 786 1048 1536 1572 2096 3144 4192 6288 8384 11587 12576 16768 23174 25152 33536 34761 46348 50304 67072 69522 92696 100608 139044 185392 201216 278088 370784 556176 741568 1112352 1483136 1517897 2224704 2966272 3035794 4449408 4553691 5932544 6071588 8898816 9107382 12143176 17797632 18214764 24286352 36429528 48572704 72859056 97145408 145718112 194290816 291436224 388581632 582872448 777163264 1165744896 2331489792