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98366496 = 25319199271
BaseRepresentation
bin1011101110011…
…11010000100000
320212002112110120
411313033100200
5200140211441
613432200240
72303046534
oct567172040
9225075416
1098366496
1150586228
1228b39080
13174c1137
14d0c7bc4
158980966
hex5dcf420

98366496 has 96 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 30792960.

The previous prime is 98366483. The next prime is 98366509. The reversal of 98366496 is 69466389.

It is an interprime number because it is at equal distance from previous prime (98366483) and next prime (98366509).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 362841 + ... + 363111.

It is an arithmetic number, because the mean of its divisors is an integer number (2856000).

Almost surely, 298366496 is an apocalyptic number.

98366496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98366496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

98366496 is an abundant number, since it is smaller than the sum of its proper divisors (175809504).

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

98366496 is a wasteful number, since it uses less digits than its factorization.

98366496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 98366496 is about 9917.9885057405. The cubic root of 98366496 is about 461.6176443289.

The spelling of 98366496 in words is "ninety-eight million, three hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 199 228 271 304 398 456 542 597 608 796 813 912 1084 1194 1592 1626 1824 2168 2388 3184 3252 3781 4336 4776 5149 6368 6504 7562 8672 9552 10298 11343 13008 15124 15447 19104 20596 22686 26016 30248 30894 41192 45372 53929 60496 61788 82384 90744 107858 120992 123576 161787 164768 181488 215716 247152 323574 362976 431432 494304 647148 862864 1024651 1294296 1725728 2049302 2588592 3073953 4098604 5177184 6147906 8197208 12295812 16394416 24591624 32788832 49183248 98366496