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98482656 = 25341131191
BaseRepresentation
bin1011101111010…
…11100111100000
320212022102210210
411313223213200
5200202421111
613434454120
72304042306
oct567534740
9225272723
1098482656
1150655528
1228b94340
1317531c7c
14d118276
1589a50a6
hex5deb9e0

98482656 has 96 divisors (see below), whose sum is σ = 268240896. Its totient is φ = 31616000.

The previous prime is 98482651. The next prime is 98482667. The reversal of 98482656 is 65628489.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98482651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515521 + ... + 515711.

It is an arithmetic number, because the mean of its divisors is an integer number (2794176).

Almost surely, 298482656 is an apocalyptic number.

98482656 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 98482656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134120448).

98482656 is an abundant number, since it is smaller than the sum of its proper divisors (169758240).

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

98482656 is a wasteful number, since it uses less digits than its factorization.

98482656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 98482656 is about 9923.8428040754. The cubic root of 98482656 is about 461.7992793861.

The spelling of 98482656 in words is "ninety-eight million, four hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 131 164 191 246 262 328 382 393 492 524 573 656 764 786 984 1048 1146 1312 1528 1572 1968 2096 2292 3056 3144 3936 4192 4584 5371 6112 6288 7831 9168 10742 12576 15662 16113 18336 21484 23493 25021 31324 32226 42968 46986 50042 62648 64452 75063 85936 93972 100084 125296 128904 150126 171872 187944 200168 250592 257808 300252 375888 400336 515616 600504 751776 800672 1025861 1201008 2051722 2402016 3077583 4103444 6155166 8206888 12310332 16413776 24620664 32827552 49241328 98482656