Search a number
-
+
998881416 = 2333131272801
BaseRepresentation
bin111011100010011…
…011100010001000
32120121120102201000
4323202123202020
54021203201131
6243041255000
733516231501
oct7342334210
92517512630
10998881416
1147292a435
1223a634460
1312bc37cc0
1496939ba8
155ca5ece6
hex3b89b888

998881416 has 128 divisors (see below), whose sum is σ = 3012710400. Its totient is φ = 304819200.

The previous prime is 998881391. The next prime is 998881417. The reversal of 998881416 is 614188899.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (998881417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355216 + ... + 358016.

It is an arithmetic number, because the mean of its divisors is an integer number (23536800).

Almost surely, 2998881416 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 998881416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506355200).

998881416 is an abundant number, since it is smaller than the sum of its proper divisors (2013828984).

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

998881416 is a wasteful number, since it uses less digits than its factorization.

998881416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2946 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 998881416 is about 31605.0852870230. The cubic root of 998881416 is about 999.6269995546.

The spelling of 998881416 in words is "nine hundred ninety-eight million, eight hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 127 156 216 234 254 312 351 381 468 508 702 762 936 1016 1143 1404 1524 1651 2286 2801 2808 3048 3302 3429 4572 4953 5602 6604 6858 8403 9144 9906 11204 13208 13716 14859 16806 19812 22408 25209 27432 29718 33612 36413 39624 44577 50418 59436 67224 72826 75627 89154 100836 109239 118872 145652 151254 178308 201672 218478 291304 302508 327717 355727 356616 436956 605016 655434 711454 873912 983151 1067181 1310868 1422908 1966302 2134362 2621736 2845816 3201543 3932604 4268724 4624451 6403086 7865208 8537448 9248902 9604629 12806172 13873353 18497804 19209258 25612344 27746706 36995608 38418516 41620059 55493412 76837032 83240118 110986824 124860177 166480236 249720354 332960472 499440708 998881416