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97471440 = 243251131397
BaseRepresentation
bin1011100111101…
…00101111010000
320210102001200100
411303310233100
5144423041230
613401052400
72262331203
oct563645720
9223361610
1097471440
1150024810
1228787100
1317269911
14cd3393a
158855660
hex5cf4bd0

97471440 has 240 divisors, whose sum is σ = 369547776. Its totient is φ = 22809600.

The previous prime is 97471433. The next prime is 97471469. The reversal of 97471440 is 4417479.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 97471395 and 97471404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245322 + ... + 245718.

Almost surely, 297471440 is an apocalyptic number.

97471440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97471440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184773888).

97471440 is an abundant number, since it is smaller than the sum of its proper divisors (272076336).

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

97471440 is a wasteful number, since it uses less digits than its factorization.

97471440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 97471440 is about 9872.7625313283. The cubic root of 97471440 is about 460.2132596540.

The spelling of 97471440 in words is "ninety-seven million, four hundred seventy-one thousand, four hundred forty".