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98449664 = 282989149
BaseRepresentation
bin1011101111000…
…11100100000000
320212020202112212
411313203210000
5200200342124
613434041252
72303544155
oct567434400
9225222485
1098449664
1150632765
1228b79228
131751cc51
14d10a22c
15899a40e
hex5de3900

98449664 has 72 divisors (see below), whose sum is σ = 206955000. Its totient is φ = 46678016.

The previous prime is 98449657. The next prime is 98449667. The reversal of 98449664 is 46694489.

It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 98406400 = 208^2 + 9920^2 .

It is not an unprimeable number, because it can be changed into a prime (98449667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660662 + ... + 660810.

It is an arithmetic number, because the mean of its divisors is an integer number (2874375).

Almost surely, 298449664 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 98449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103477500).

98449664 is an abundant number, since it is smaller than the sum of its proper divisors (108505336).

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

98449664 is a wasteful number, since it uses less digits than its factorization.

98449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 50.

The square root of 98449664 is about 9922.1804055359. The cubic root of 98449664 is about 461.7477055554.

The spelling of 98449664 in words is "ninety-eight million, four hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 89 116 128 149 178 232 256 298 356 464 596 712 928 1192 1424 1856 2384 2581 2848 3712 4321 4768 5162 5696 7424 8642 9536 10324 11392 13261 17284 19072 20648 22784 26522 34568 38144 41296 53044 69136 82592 106088 138272 165184 212176 276544 330368 384569 424352 553088 660736 769138 848704 1106176 1538276 1697408 3076552 3394816 6153104 12306208 24612416 49224832 98449664