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989034272 = 25375315761
BaseRepresentation
bin111010111100110…
…111011100100000
32112221001010221222
4322330313130200
54011143044042
6242050234212
733336436562
oct7274673440
92487033858
10989034272
114683140a6
12237285968
13129b9aba5
14954d5332
155bc672d2
hex3af37720

989034272 has 48 divisors (see below), whose sum is σ = 2037648312. Its totient is φ = 472043520.

The previous prime is 989034257. The next prime is 989034307. The reversal of 989034272 is 272430989.

It can be written as a sum of positive squares in 4 ways, for example, as 988725136 + 309136 = 31444^2 + 556^2 .

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 7 ways as a sum of consecutive naturals, for example, 54872 + ... + 70632.

Almost surely, 2989034272 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 989034272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018824156).

989034272 is an abundant number, since it is smaller than the sum of its proper divisors (1048614040).

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

989034272 is a wasteful number, since it uses less digits than its factorization.

989034272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15861 (or 15853 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 989034272 is about 31448.9152754113. The cubic root of 989034272 is about 996.3313145396.

The spelling of 989034272 in words is "nine hundred eighty-nine million, thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 424 592 848 1184 1696 1961 3922 7844 15688 15761 31376 31522 62752 63044 126088 252176 504352 583157 835333 1166314 1670666 2332628 3341332 4665256 6682664 9330512 13365328 18661024 26730656 30907321 61814642 123629284 247258568 494517136 989034272