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98382152 = 231119292029
BaseRepresentation
bin1011101110100…
…11000101001000
320212010022221102
411313103011020
5200141212102
613432400532
72303143301
oct567230510
9225108842
1098382152
1150596a70
1228b46148
13174c82bb
14d0cd7a8
158985402
hex5dd3148

98382152 has 64 divisors (see below), whose sum is σ = 219240000. Its totient is φ = 40884480.

The previous prime is 98382143. The next prime is 98382187. The reversal of 98382152 is 25128389.

It is a super-2 number, since 2×983821522 = 19358095664302208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47474 + ... + 49502.

It is an arithmetic number, because the mean of its divisors is an integer number (3425625).

Almost surely, 298382152 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 98382152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109620000).

98382152 is an abundant number, since it is smaller than the sum of its proper divisors (120857848).

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

98382152 is a wasteful number, since it uses less digits than its factorization.

98382152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2090 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 98382152 is about 9918.7777472832. Note that the first 4 decimals coincide. The cubic root of 98382152 is about 461.6421333665.

The spelling of 98382152 in words is "ninety-eight million, three hundred eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 19 22 29 38 44 58 76 88 116 152 209 232 319 418 551 638 836 1102 1276 1672 2029 2204 2552 4058 4408 6061 8116 12122 16232 22319 24244 38551 44638 48488 58841 77102 89276 117682 154204 178552 235364 308408 424061 470728 647251 848122 1117979 1294502 1696244 2235958 2589004 3392488 4471916 5178008 8943832 12297769 24595538 49191076 98382152