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95498208 = 253213231109
BaseRepresentation
bin1011011000100…
…10111111100000
320122200210220200
411230102333200
5143421420313
613250505200
72236502301
oct554227740
9218623820
1095498208
11499a7243
1227b95200
1316a28720
14c97c7a8
1585b5b73
hex5b12fe0

95498208 has 144 divisors (see below), whose sum is σ = 305454240. Its totient is φ = 28081152.

The previous prime is 95498191. The next prime is 95498239. The reversal of 95498208 is 80289459.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×954982082 = 18239815462422528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85558 + ... + 86666.

It is an arithmetic number, because the mean of its divisors is an integer number (2121210).

Almost surely, 295498208 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 95498208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152727120).

95498208 is an abundant number, since it is smaller than the sum of its proper divisors (209956032).

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

95498208 is a wasteful number, since it uses less digits than its factorization.

95498208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1150 counting only the distinct ones).

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

The square root of 95498208 is about 9772.3184557197. The cubic root of 95498208 is about 457.0865134427.

The spelling of 95498208 in words is "ninety-five million, four hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 736 828 897 936 1104 1109 1196 1248 1656 1794 1872 2208 2218 2392 2691 3312 3327 3588 3744 4436 4784 5382 6624 6654 7176 8872 9568 9981 10764 13308 14352 14417 17744 19962 21528 25507 26616 28704 28834 35488 39924 43056 43251 51014 53232 57668 76521 79848 86112 86502 102028 106464 115336 129753 153042 159696 173004 204056 229563 230672 259506 306084 319392 331591 346008 408112 459126 461344 519012 612168 663182 692016 816224 918252 994773 1038024 1224336 1326364 1384032 1836504 1989546 2076048 2448672 2652728 2984319 3673008 3979092 4152096 5305456 5968638 7346016 7958184 10610912 11937276 15916368 23874552 31832736 47749104 95498208