Search a number
-
+
992894672 = 247117111351
BaseRepresentation
bin111011001011100…
…101111011010000
32120012022021102202
4323023211323100
54013140112142
6242305102332
733414315440
oct7313457320
92505267382
10992894672
1146a510510
122386279a8
1312a920053
1495c1c120
155c27b032
hex3b2e5ed0

992894672 has 80 divisors (see below), whose sum is σ = 2432415744. Its totient is φ = 381360000.

The previous prime is 992894627. The next prime is 992894711. The reversal of 992894672 is 276498299.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81797 + ... + 93147.

Almost surely, 2992894672 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 992894672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216207872).

992894672 is an abundant number, since it is smaller than the sum of its proper divisors (1439521072).

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

992894672 is a wasteful number, since it uses less digits than its factorization.

992894672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11448 (or 11442 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 56.

The square root of 992894672 is about 31510.2312273331. The cubic root of 992894672 is about 997.6259255642.

The spelling of 992894672 in words is "nine hundred ninety-two million, eight hundred ninety-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 71 77 88 112 142 154 176 284 308 497 568 616 781 994 1136 1232 1562 1988 3124 3976 5467 6248 7952 10934 11351 12496 21868 22702 43736 45404 79457 87472 90808 124861 158914 181616 249722 317828 499444 635656 805921 874027 998888 1271312 1611842 1748054 1997776 3223684 3496108 5641447 6447368 6992216 8865131 11282894 12894736 13984432 17730262 22565788 35460524 45131576 62055917 70921048 90263152 124111834 141842096 248223668 496447336 992894672