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98295048 = 23323147937
BaseRepresentation
bin1011101101111…
…01110100001000
320211221220110100
411312331310020
5200130420143
613430445400
72302331325
oct566756410
9224856410
1098295048
1150537585
1228b03860
1317497767
14d0a9b4c
1589696d3
hex5dbdd08

98295048 has 96 divisors (see below), whose sum is σ = 280949760. Its totient is φ = 31000320.

The previous prime is 98295023. The next prime is 98295049. The reversal of 98295048 is 84059289.

It is a super-2 number, since 2×982950482 = 19323832922644608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98294994 and 98295012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98295049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104436 + ... + 105372.

It is an arithmetic number, because the mean of its divisors is an integer number (2926560).

Almost surely, 298295048 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 98295048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140474880).

98295048 is an abundant number, since it is smaller than the sum of its proper divisors (182654712).

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

98295048 is a wasteful number, since it uses less digits than its factorization.

98295048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 98295048 is about 9914.3859113916. The cubic root of 98295048 is about 461.5058527218.

The spelling of 98295048 in words is "ninety-eight million, two hundred ninety-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 93 94 124 141 186 188 248 279 282 372 376 423 558 564 744 846 937 1116 1128 1457 1692 1874 2232 2811 2914 3384 3748 4371 5622 5828 7496 8433 8742 11244 11656 13113 16866 17484 22488 26226 29047 33732 34968 44039 52452 58094 67464 87141 88078 104904 116188 132117 174282 176156 232376 261423 264234 348564 352312 396351 522846 528468 697128 792702 1045692 1056936 1365209 1585404 2091384 2730418 3170808 4095627 5460836 8191254 10921672 12286881 16382508 24573762 32765016 49147524 98295048