Search a number
-
+
97471008 = 25321073163
BaseRepresentation
bin1011100111101…
…00101000100000
320210102001002100
411303310220200
5144423033013
613401050400
72262330015
oct563645040
9223361070
1097471008
1150024458
1228786a00
131726966b
14cd3370c
158855473
hex5cf4a20

97471008 has 72 divisors (see below), whose sum is σ = 279862128. Its totient is φ = 32176512.

The previous prime is 97470991. The next prime is 97471019. The reversal of 97471008 is 80017479.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29235 + ... + 32397.

It is an arithmetic number, because the mean of its divisors is an integer number (3886974).

Almost surely, 297471008 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 97471008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139931064).

97471008 is an abundant number, since it is smaller than the sum of its proper divisors (182391120).

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

97471008 is a wasteful number, since it uses less digits than its factorization.

97471008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 97471008 is about 9872.7406529292. The cubic root of 97471008 is about 460.2125797542.

The spelling of 97471008 in words is "ninety-seven million, four hundred seventy-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3163 3424 3852 5136 6326 7704 9489 10272 12652 15408 18978 25304 28467 30816 37956 50608 56934 75912 101216 113868 151824 227736 303648 338441 455472 676882 910944 1015323 1353764 2030646 2707528 3045969 4061292 5415056 6091938 8122584 10830112 12183876 16245168 24367752 32490336 48735504 97471008