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988096356 = 2232134312
BaseRepresentation
bin111010111001010…
…010011101100100
32112212021111101100
4322321102131210
54010423040411
6242014200100
733325452252
oct7271223544
92485244340
10988096356
11467833465
12236ab3030
13129930000
149532d5d2
155bb2e456
hex3ae52764

988096356 has 135 divisors (see below), whose sum is σ = 2795921583. Its totient is φ = 294222240.

The previous prime is 988096339. The next prime is 988096357. The reversal of 988096356 is 653690889.

The square root of 988096356 is 31434.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 489913956 + 498182400 = 22134^2 + 22320^2 .

It is not an unprimeable number, because it can be changed into a prime (988096357) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31874061 + ... + 31874091.

Almost surely, 2988096356 is an apocalyptic number.

988096356 is the 31434-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988096356

988096356 is an abundant number, since it is smaller than the sum of its proper divisors (1807825227).

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

988096356 is a wasteful number, since it uses less digits than its factorization.

988096356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The cubic root of 988096356 is about 996.0162696331.

The spelling of 988096356 in words is "nine hundred eighty-eight million, ninety-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 169 186 234 279 338 372 403 468 507 558 676 806 961 1014 1116 1209 1521 1612 1922 2028 2197 2418 2883 3042 3627 3844 4394 4836 5239 5766 6084 6591 7254 8649 8788 10478 11532 12493 13182 14508 15717 17298 19773 20956 24986 26364 28561 31434 34596 37479 39546 47151 49972 57122 62868 68107 74958 79092 85683 94302 112437 114244 136214 149916 162409 171366 188604 204321 224874 257049 272428 324818 342732 408642 449748 487227 514098 612963 649636 817284 885391 974454 1028196 1225926 1461681 1770782 1948908 2111317 2451852 2656173 2923362 3541564 4222634 5312346 5846724 6333951 7968519 8445268 10624692 12667902 15937038 19001853 25335804 27447121 31874076 38003706 54894242 76007412 82341363 109788484 164682726 247024089 329365452 494048178 988096356