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98146368 = 2632170393
BaseRepresentation
bin1011101100110…
…01100001000000
320211200100111200
411312121201000
5200111140433
613423341200
72301142005
oct566314100
9224610450
1098146368
1150445901
1228a51800
1317444b98
14d06b8ac
15893a613
hex5d99840

98146368 has 42 divisors (see below), whose sum is σ = 281320494. Its totient is φ = 32715264.

The previous prime is 98146327. The next prime is 98146369. The reversal of 98146368 is 86364189.

98146368 is a `hidden beast` number, since 9 + 8 + 1 + 4 + 636 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78004224 + 20142144 = 8832^2 + 4488^2 .

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

It is not an unprimeable number, because it can be changed into a prime (98146369) 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 5 ways as a sum of consecutive naturals, for example, 84621 + ... + 85772.

It is an arithmetic number, because the mean of its divisors is an integer number (6698107).

Almost surely, 298146368 is an apocalyptic number.

It is an amenable number.

98146368 is an abundant number, since it is smaller than the sum of its proper divisors (183174126).

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

98146368 is a wasteful number, since it uses less digits than its factorization.

98146368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170411 (or 170398 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 98146368 is about 9906.8848787094. The cubic root of 98146368 is about 461.2730457562.

The spelling of 98146368 in words is "ninety-eight million, one hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 170393 340786 511179 681572 1022358 1363144 1533537 2044716 2726288 3067074 4089432 5452576 6134148 8178864 10905152 12268296 16357728 24536592 32715456 49073184 98146368