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987338484 = 223411535227
BaseRepresentation
bin111010110110011…
…001011011110100
32112210211222210000
4322312121123310
54010224312414
6241550031300
733316144566
oct7266313364
92483758700
10987338484
11467366020
122367a8530
13129726072
14951b3336
155ba2eb09
hex3ad996f4

987338484 has 120 divisors (see below), whose sum is σ = 2869419168. Its totient is φ = 293492160.

The previous prime is 987338483. The next prime is 987338491. The reversal of 987338484 is 484833789.

987338484 is a `hidden beast` number, since 98 + 73 + 3 + 8 + 484 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 987338484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987338483) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186279 + ... + 191505.

Almost surely, 2987338484 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 987338484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434709584).

987338484 is an abundant number, since it is smaller than the sum of its proper divisors (1882080684).

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

987338484 is a wasteful number, since it uses less digits than its factorization.

987338484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307 (or 5296 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 987338484 is about 31421.9427152428. The cubic root of 987338484 is about 995.7615556364.

The spelling of 987338484 in words is "nine hundred eighty-seven million, three hundred thirty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 81 99 106 108 132 159 162 198 212 297 318 324 396 477 583 594 636 891 954 1166 1188 1431 1749 1782 1908 2332 2862 3498 3564 4293 5227 5247 5724 6996 8586 10454 10494 15681 15741 17172 20908 20988 31362 31482 47043 47223 57497 62724 62964 94086 94446 114994 141129 172491 188172 188892 229988 277031 282258 344982 423387 517473 554062 564516 689964 831093 846774 1034946 1108124 1552419 1662186 1693548 2069892 2493279 3047341 3104838 3324372 4657257 4986558 6094682 6209676 7479837 9142023 9314514 9973116 12189364 14959674 18284046 18629028 22439511 27426069 29919348 36568092 44879022 54852138 82278207 89758044 109704276 164556414 246834621 329112828 493669242 987338484