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97881440 = 2551274817
BaseRepresentation
bin1011101010110…
…00110101100000
320211011220002112
411311120311200
5200024201230
613413534452
72265656426
oct565306540
9224156075
1097881440
1150284858
1228944428
1317381417
14cddd116
1588d6d95
hex5d58d60

97881440 has 48 divisors (see below), whose sum is σ = 233114112. Its totient is φ = 38836224.

The previous prime is 97881419. The next prime is 97881451. The reversal of 97881440 is 4418879.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17912 + ... + 22728.

It is an arithmetic number, because the mean of its divisors is an integer number (4856544).

Almost surely, 297881440 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 97881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116557056).

97881440 is an abundant number, since it is smaller than the sum of its proper divisors (135232672).

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

97881440 is a wasteful number, since it uses less digits than its factorization.

97881440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 97881440 is about 9893.5049401110. The cubic root of 97881440 is about 460.8576312789.

The spelling of 97881440 in words is "ninety-seven million, eight hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 1016 1270 2032 2540 4064 4817 5080 9634 10160 19268 20320 24085 38536 48170 77072 96340 154144 192680 385360 611759 770720 1223518 2447036 3058795 4894072 6117590 9788144 12235180 19576288 24470360 48940720 97881440