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98906368 = 2811231103
BaseRepresentation
bin1011110010100…
…11000100000000
320220002222000211
411321103010000
5200310000433
613451523504
72310455521
oct571230400
9226088024
1098906368
1150914900
1229159594
131764caa2
14d1c8848
158a3a8cd
hex5e53100

98906368 has 108 divisors (see below), whose sum is σ = 226180864. Its totient is φ = 43084800.

The previous prime is 98906363. The next prime is 98906387. The reversal of 98906368 is 86360989.

It is not an unprimeable number, because it can be changed into a prime (98906363) 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, 960205 + ... + 960307.

Almost surely, 298906368 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 98906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113090432).

98906368 is an abundant number, since it is smaller than the sum of its proper divisors (127274496).

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

98906368 is a wasteful number, since it uses less digits than its factorization.

98906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 98906368 is about 9945.1680729890. The cubic root of 98906368 is about 462.4606139336.

The spelling of 98906368 in words is "ninety-eight million, nine hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 103 121 124 128 176 206 242 248 256 341 352 412 484 496 682 704 824 968 992 1133 1364 1408 1648 1936 1984 2266 2728 2816 3193 3296 3751 3872 3968 4532 5456 6386 6592 7502 7744 7936 9064 10912 12463 12772 13184 15004 15488 18128 21824 24926 25544 26368 30008 30976 35123 36256 43648 49852 51088 60016 70246 72512 87296 99704 102176 120032 140492 145024 199408 204352 240064 280984 290048 386353 398816 408704 480128 561968 772706 797632 817408 960256 1123936 1545412 1595264 2247872 3090824 3190528 4495744 6181648 8991488 12363296 24726592 49453184 98906368