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989354496 = 2931349547
BaseRepresentation
bin111010111110000…
…101101000000000
32112221122102020010
4322332011220000
54011233320441
6242101144520
733342242304
oct7276055000
92487572203
10989354496
11468512749
122373bb140
13129c80880
1495579d04
155bccc116
hex3af85a00

989354496 has 80 divisors (see below), whose sum is σ = 2838505824. Its totient is φ = 304410624.

The previous prime is 989354479. The next prime is 989354503. The reversal of 989354496 is 694453989.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4806 + ... + 44741.

Almost surely, 2989354496 is an apocalyptic number.

989354496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989354496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419252912).

989354496 is an abundant number, since it is smaller than the sum of its proper divisors (1849151328).

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

989354496 is a wasteful number, since it uses less digits than its factorization.

989354496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49581 (or 49565 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The square root of 989354496 is about 31454.0060405666. The cubic root of 989354496 is about 996.4388318019.

The spelling of 989354496 in words is "nine hundred eighty-nine million, three hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 19968 49547 99094 148641 198188 297282 396376 594564 644111 792752 1189128 1288222 1585504 1932333 2378256 2576444 3171008 3864666 4756512 5152888 6342016 7729332 9513024 10305776 12684032 15458664 19026048 20611552 25368064 30917328 38052096 41223104 61834656 76104192 82446208 123669312 164892416 247338624 329784832 494677248 989354496