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987628092 = 2231119338767
BaseRepresentation
bin111010110111100…
…000001000111100
32112211101201001020
4322313200020330
54010313044332
6242000144140
733321462123
oct7267401074
92484351036
10987628092
11467543670
12236908050
131297c7b29
149524aaba
155ba8a82c
hex3ade023c

987628092 has 48 divisors (see below), whose sum is σ = 2527053312. Its totient is φ = 297722880.

The previous prime is 987628091. The next prime is 987628093. The reversal of 987628092 is 290826789.

It is a happy number.

987628092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (987628091) and next prime (987628093).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987628091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6093 + ... + 44859.

It is an arithmetic number, because the mean of its divisors is an integer number (52646944).

Almost surely, 2987628092 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 987628092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263526656).

987628092 is an abundant number, since it is smaller than the sum of its proper divisors (1539425220).

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

987628092 is a wasteful number, since it uses less digits than its factorization.

987628092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38978 (or 38976 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 987628092 is about 31426.5507493266. The cubic root of 987628092 is about 995.8589056759.

The spelling of 987628092 in words is "nine hundred eighty-seven million, six hundred twenty-eight thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 1158 2123 2316 4246 6369 8492 12738 25476 38767 77534 116301 155068 232602 426437 465204 852874 1279311 1705748 2558622 5117244 7482031 14964062 22446093 29928124 44892186 82302341 89784372 164604682 246907023 329209364 493814046 987628092