Search a number
-
+
98090496 = 293273041
BaseRepresentation
bin1011101100010…
…11111000000000
320211120111212100
411312023320000
5200102343441
613422230400
72300520060
oct566137000
9224514770
1098090496
1150407929
1228a25400
131742561a
14d0553a0
158928cb6
hex5d8be00

98090496 has 120 divisors (see below), whose sum is σ = 323644464. Its totient is φ = 28016640.

The previous prime is 98090477. The next prime is 98090497. The reversal of 98090496 is 69409089.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98090497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30736 + ... + 33776.

Almost surely, 298090496 is an apocalyptic number.

98090496 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 98090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161822232).

98090496 is an abundant number, since it is smaller than the sum of its proper divisors (225553968).

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

98090496 is a wasteful number, since it uses less digits than its factorization.

98090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 98090496 is about 9904.0646201446. The cubic root of 98090496 is about 461.1854991658.

The spelling of 98090496 in words is "ninety-eight million, ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3041 3584 4032 4608 5376 6082 8064 9123 10752 12164 16128 18246 21287 24328 27369 32256 36492 42574 48656 54738 63861 72984 85148 97312 109476 127722 145968 170296 191583 194624 218952 255444 291936 340592 383166 389248 437904 510888 583872 681184 766332 778496 875808 1021776 1167744 1362368 1532664 1556992 1751616 2043552 2335488 2724736 3065328 3503232 4087104 4670976 5449472 6130656 7006464 8174208 10898944 12261312 14012928 16348416 24522624 32696832 49045248 98090496