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98260992 = 211331777
BaseRepresentation
bin1011101101101…
…01100000000000
320211220011202000
411312311200000
5200123322432
613430024000
72302130124
oct566654000
9224804660
1098260992
1150513a35
1228aa8000
13174850cb
14d09b584
15895e57c
hex5db5800

98260992 has 96 divisors (see below), whose sum is σ = 291236400. Its totient is φ = 32735232.

The previous prime is 98260933. The next prime is 98260997. The reversal of 98260992 is 29906289.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98260997) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54408 + ... + 56184.

Almost surely, 298260992 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 98260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145618200).

98260992 is an abundant number, since it is smaller than the sum of its proper divisors (192975408).

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

98260992 is a wasteful number, since it uses less digits than its factorization.

98260992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 98260992 is about 9912.6682583450. The cubic root of 98260992 is about 461.4525477007.

The spelling of 98260992 in words is "ninety-eight million, two hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 1777 2048 2304 3072 3456 3554 4608 5331 6144 6912 7108 9216 10662 13824 14216 15993 18432 21324 27648 28432 31986 42648 47979 55296 56864 63972 85296 95958 113728 127944 170592 191916 227456 255888 341184 383832 454912 511776 682368 767664 909824 1023552 1364736 1535328 1819648 2047104 2729472 3070656 3639296 4094208 5458944 6141312 8188416 10917888 12282624 16376832 24565248 32753664 49130496 98260992