Search a number
-
+
98168832 = 212322663
BaseRepresentation
bin1011101100111…
…11000000000000
320211201111022200
411312133000000
5200112400312
613424033200
72301264336
oct566370000
9224644280
1098168832
1150460773
1228a62800
1317452188
14d075b56
1589420dc
hex5d9f000

98168832 has 78 divisors (see below), whose sum is σ = 283670712. Its totient is φ = 32710656.

The previous prime is 98168827. The next prime is 98168893. The reversal of 98168832 is 23886189.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35533 + ... + 38195.

It is an arithmetic number, because the mean of its divisors is an integer number (3636804).

Almost surely, 298168832 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 98168832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141835356).

98168832 is an abundant number, since it is smaller than the sum of its proper divisors (185501880).

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

98168832 is a wasteful number, since it uses less digits than its factorization.

98168832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2668 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 98168832 is about 9908.0185708344. The cubic root of 98168832 is about 461.3082355360.

The spelling of 98168832 in words is "ninety-eight million, one hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2663 3072 4096 4608 5326 6144 7989 9216 10652 12288 15978 18432 21304 23967 31956 36864 42608 47934 63912 85216 95868 127824 170432 191736 255648 340864 383472 511296 681728 766944 1022592 1363456 1533888 2045184 2726912 3067776 4090368 5453824 6135552 8180736 10907648 12271104 16361472 24542208 32722944 49084416 98168832