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992017048 = 2311217232621
BaseRepresentation
bin111011001000001…
…111101010011000
32120010122200120011
4323020033222120
54012424021143
6242234211304
733404001661
oct7310175230
92503580504
10992017048
11469a71100
12238283b34
1312a6a3749
1495a70368
155c155e9d
hex3b20fa98

992017048 has 96 divisors (see below), whose sum is σ = 2259744480. Its totient is φ = 405785600.

The previous prime is 992017043. The next prime is 992017049. The reversal of 992017048 is 840710299.

992017048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 992017048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992017043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377178 + ... + 379798.

It is an arithmetic number, because the mean of its divisors is an integer number (23539005).

Almost surely, 2992017048 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 992017048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129872240).

992017048 is an abundant number, since it is smaller than the sum of its proper divisors (1267727432).

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

992017048 is a wasteful number, since it uses less digits than its factorization.

992017048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 992017048 is about 31496.3021321551. The cubic root of 992017048 is about 997.3319035927.

The spelling of 992017048 in words is "nine hundred ninety-two million, seventeen thousand, forty-eight".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 121 136 184 187 242 253 374 391 484 506 748 782 968 1012 1496 1564 2024 2057 2621 2783 3128 4114 4301 5242 5566 8228 8602 10484 11132 16456 17204 20968 22264 28831 34408 44557 47311 57662 60283 89114 94622 115324 120566 178228 189244 230648 241132 317141 356456 378488 482264 490127 634282 663113 980254 1024811 1268564 1326226 1960508 2049622 2537128 2652452 3921016 4099244 5304904 5391397 7294243 8198488 10782794 11272921 14588486 21565588 22545842 29176972 43131176 45091684 58353944 90183368 124002131 248004262 496008524 992017048