Search a number
-
+
992496 = 243232931
BaseRepresentation
bin11110010010011110000
31212102110010
43302103300
5223224441
633134520
711302401
oct3622360
91772403
10992496
1161874a
123ba440
1328999b
141bb9a8
15149116
hexf24f0

992496 has 80 divisors (see below), whose sum is σ = 2856960. Its totient is φ = 295680.

The previous prime is 992461. The next prime is 992513. The reversal of 992496 is 694299.

992496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 992496.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32001 + ... + 32031.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2992496 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 992496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428480).

992496 is an abundant number, since it is smaller than the sum of its proper divisors (1864464).

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

992496 is a wasteful number, since it uses less digits than its factorization.

992496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 992496 is about 996.2409347141. The cubic root of 992496 is about 99.7492383784.

The spelling of 992496 in words is "nine hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 31 46 48 58 62 69 87 92 93 116 124 138 174 184 186 232 248 276 348 368 372 464 496 552 667 696 713 744 899 1104 1334 1392 1426 1488 1798 2001 2139 2668 2697 2852 3596 4002 4278 5336 5394 5704 7192 8004 8556 10672 10788 11408 14384 16008 17112 20677 21576 32016 34224 41354 43152 62031 82708 124062 165416 248124 330832 496248 992496