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98349216 = 2537178609
BaseRepresentation
bin1011101110010…
…11000010100000
320212001122202120
411313023002200
5200134133331
613431544240
72302645260
oct567130240
9225048676
1098349216
1150574249
1228b2b080
13174b6304
14d0c17a0
15897a796
hex5dcb0a0

98349216 has 96 divisors (see below), whose sum is σ = 312439680. Its totient is φ = 26443776.

The previous prime is 98349203. The next prime is 98349253. The reversal of 98349216 is 61294389.

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 an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7120 + ... + 15728.

It is an arithmetic number, because the mean of its divisors is an integer number (3254580).

Almost surely, 298349216 is an apocalyptic number.

98349216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98349216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156219840).

98349216 is an abundant number, since it is smaller than the sum of its proper divisors (214090464).

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

98349216 is a wasteful number, since it uses less digits than its factorization.

98349216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8646 (or 8638 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 98349216 is about 9917.1173230934. The cubic root of 98349216 is about 461.5906120217.

The spelling of 98349216 in words is "ninety-eight million, three hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 8609 11424 17218 25827 34436 51654 60263 68872 103308 120526 137744 146353 180789 206616 241052 275488 292706 361578 413232 439059 482104 585412 723156 826464 878118 964208 1024471 1170824 1446312 1756236 1928416 2048942 2341648 2892624 3073413 3512472 4097884 4683296 5785248 6146826 7024944 8195768 12293652 14049888 16391536 24587304 32783072 49174608 98349216