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95880288 = 2537612339
BaseRepresentation
bin1011011011100…
…00010001100000
320200102020000210
411231300101200
5144021132123
613303014120
72242653240
oct555602140
9220366023
1095880288
114a138309
122813a340
1316b305ca
14ca3bb20
15863de93
hex5b70460

95880288 has 96 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 26933760.

The previous prime is 95880287. The next prime is 95880313. The reversal of 95880288 is 88208859.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95880287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39823 + ... + 42161.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 295880288 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 95880288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

95880288 is an abundant number, since it is smaller than the sum of its proper divisors (196600992).

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

95880288 is a wasteful number, since it uses less digits than its factorization.

95880288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The square root of 95880288 is about 9791.8480380365. The cubic root of 95880288 is about 457.6952900322.

The spelling of 95880288 in words is "ninety-five million, eight hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2339 2562 2928 3416 4678 5124 5856 6832 7017 9356 10248 13664 14034 16373 18712 20496 28068 32746 37424 40992 49119 56136 65492 74848 98238 112272 130984 142679 196476 224544 261968 285358 392952 428037 523936 570716 785904 856074 998753 1141432 1571808 1712148 1997506 2282864 2996259 3424296 3995012 4565728 5992518 6848592 7990024 11985036 13697184 15980048 23970072 31960096 47940144 95880288