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98944956 = 223311372251
BaseRepresentation
bin1011110010111…
…00011110111100
320220011220222000
411321130132330
5200312214311
613452422300
72311006155
oct571343674
9226156860
1098944956
11509408a0
1229177990
1317664516
14d1d892c
158a47056
hex5e5c7bc

98944956 has 96 divisors (see below), whose sum is σ = 287535360. Its totient is φ = 29160000.

The previous prime is 98944939. The next prime is 98944957. The reversal of 98944956 is 65944989.

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

Its product of digits (2799360) is a multiple of the sum of its prime divisors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98944957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42831 + ... + 45081.

It is an arithmetic number, because the mean of its divisors is an integer number (2995160).

Almost surely, 298944956 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 98944956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143767680).

98944956 is an abundant number, since it is smaller than the sum of its proper divisors (188590404).

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

98944956 is a wasteful number, since it uses less digits than its factorization.

98944956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2304 counting only the distinct ones).

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

The square root of 98944956 is about 9947.1079214011. The cubic root of 98944956 is about 462.5207486187.

The spelling of 98944956 in words is "ninety-eight million, nine hundred forty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1188 1221 1332 1628 1998 2251 2442 3663 3996 4502 4884 6753 7326 9004 10989 13506 14652 20259 21978 24761 27012 40518 43956 49522 60777 74283 81036 83287 99044 121554 148566 166574 222849 243108 249861 297132 333148 445698 499722 668547 749583 891396 916157 999444 1337094 1499166 1832314 2248749 2674188 2748471 2998332 3664628 4497498 5496942 8245413 8994996 10993884 16490826 24736239 32981652 49472478 98944956