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98089488 = 24337163199
BaseRepresentation
bin1011101100010…
…11101000010000
320211120110111000
411312023220100
5200102330423
613422222000
72300514120
oct566135020
9224513430
1098089488
11504070a2
1228a24900
1317425023
14d054c80
158928843
hex5d8ba10

98089488 has 160 divisors (see below), whose sum is σ = 325376000. Its totient is φ = 27713664.

The previous prime is 98089477. The next prime is 98089489. The reversal of 98089488 is 88498089.

98089488 is a `hidden beast` number, since 9 + 80 + 89 + 488 = 666.

It is a super-2 number, since 2×980894882 = 19243095312204288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (98089489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492813 + ... + 493011.

It is an arithmetic number, because the mean of its divisors is an integer number (2033600).

Almost surely, 298089488 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 98089488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162688000).

98089488 is an abundant number, since it is smaller than the sum of its proper divisors (227286512).

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

98089488 is a wasteful number, since it uses less digits than its factorization.

98089488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 98089488 is about 9904.0137318160. The cubic root of 98089488 is about 461.1839194118.

The spelling of 98089488 in words is "ninety-eight million, eighty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 163 168 189 199 216 252 326 336 378 398 432 489 504 597 652 756 796 978 1008 1141 1194 1304 1393 1467 1512 1592 1791 1956 2282 2388 2608 2786 2934 3024 3184 3423 3582 3912 4179 4401 4564 4776 5373 5572 5868 6846 7164 7824 8358 8802 9128 9552 10269 10746 11144 11736 12537 13692 14328 16716 17604 18256 20538 21492 22288 23472 25074 27384 28656 30807 32437 33432 35208 37611 41076 42984 50148 54768 61614 64874 66864 70416 75222 82152 85968 97311 100296 123228 129748 150444 164304 194622 200592 227059 246456 259496 291933 300888 389244 454118 492912 518992 583866 601776 681177 778488 875799 908236 1167732 1362354 1556976 1751598 1816472 2043531 2335464 2724708 3503196 3632944 4087062 4670928 5449416 6130593 7006392 8174124 10898832 12261186 14012784 16348248 24522372 32696496 49044744 98089488