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989034144 = 25374135897
BaseRepresentation
bin111010111100110…
…111011010100000
32112221001010210020
4322330313122200
54011143043034
6242050233440
733336436320
oct7274673240
92487033706
10989034144
11468313a9a
12237285880
13129b9ab07
14954d5280
155bc67249
hex3af376a0

989034144 has 96 divisors (see below), whose sum is σ = 3039555456. Its totient is φ = 275681280.

The previous prime is 989034139. The next prime is 989034157. The reversal of 989034144 is 441430989.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 989034096 and 989034105.

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, 9604 + ... + 45500.

It is an arithmetic number, because the mean of its divisors is an integer number (31662036).

Almost surely, 2989034144 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 989034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519777728).

989034144 is an abundant number, since it is smaller than the sum of its proper divisors (2050521312).

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

989034144 is a wasteful number, since it uses less digits than its factorization.

989034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35958 (or 35950 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 989034144 is about 31448.9132403649. The cubic root of 989034144 is about 996.3312715581.

The spelling of 989034144 in words is "nine hundred eighty-nine million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4592 6888 9184 13776 27552 35897 71794 107691 143588 215382 251279 287176 430764 502558 574352 753837 861528 1005116 1148704 1471777 1507674 1723056 2010232 2943554 3015348 3446112 4020464 4415331 5887108 6030696 8040928 8830662 10302439 11774216 12061392 17661324 20604878 23548432 24122784 30907317 35322648 41209756 47096864 61814634 70645296 82419512 123629268 141290592 164839024 247258536 329678048 494517072 989034144