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98936064 = 2832231867
BaseRepresentation
bin1011110010110…
…10010100000000
320220011110202200
411321122110000
5200311423224
613452313200
72310641223
oct571322400
9226143680
1098936064
1150935147
1229172800
1317660466
14d1d55ba
158a445c9
hex5e5a500

98936064 has 108 divisors (see below), whose sum is σ = 297818976. Its totient is φ = 31527936.

The previous prime is 98936053. The next prime is 98936093. The reversal of 98936064 is 46063989.

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 11 ways as a sum of consecutive naturals, for example, 52059 + ... + 53925.

Almost surely, 298936064 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 98936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148909488).

98936064 is an abundant number, since it is smaller than the sum of its proper divisors (198882912).

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

98936064 is a wasteful number, since it uses less digits than its factorization.

98936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 98936064 is about 9946.6609472727. The cubic root of 98936064 is about 462.5068929092.

The spelling of 98936064 in words is "ninety-eight million, nine hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 1867 2208 2304 2944 3312 3734 4416 5601 5888 6624 7468 8832 11202 13248 14936 16803 17664 22404 26496 29872 33606 42941 44808 52992 59744 67212 85882 89616 119488 128823 134424 171764 179232 238976 257646 268848 343528 358464 386469 477952 515292 537696 687056 716928 772938 1030584 1075392 1374112 1433856 1545876 2061168 2150784 2748224 3091752 4122336 4301568 5496448 6183504 8244672 10992896 12367008 16489344 24734016 32978688 49468032 98936064