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98274464 = 2531157631
BaseRepresentation
bin1011101101110…
…00110010100000
320211220212012222
411312320302200
5200124240324
613430210212
72302214321
oct566706240
9224825188
1098274464
1150523072
1228ab3968
131748b292
14d0a2448
15896355e
hex5db8ca0

98274464 has 48 divisors (see below), whose sum is σ = 201309696. Its totient is φ = 47174400.

The previous prime is 98274443. The next prime is 98274481. The reversal of 98274464 is 46447289.

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 7 ways as a sum of consecutive naturals, for example, 155429 + ... + 156059.

It is an arithmetic number, because the mean of its divisors is an integer number (4193952).

Almost surely, 298274464 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 98274464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100654848).

98274464 is an abundant number, since it is smaller than the sum of its proper divisors (103035232).

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

98274464 is a wasteful number, since it uses less digits than its factorization.

98274464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 98274464 is about 9913.3477695479. The cubic root of 98274464 is about 461.4736357728.

The spelling of 98274464 in words is "ninety-eight million, two hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 124 157 248 314 496 628 631 992 1256 1262 2512 2524 4867 5024 5048 9734 10096 19468 19561 20192 38936 39122 77872 78244 99067 155744 156488 198134 312976 396268 625952 792536 1585072 3071077 3170144 6142154 12284308 24568616 49137232 98274464