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97413456 = 24371915259
BaseRepresentation
bin1011100111001…
…10100101010000
320210022010010210
411303212211100
5144414212311
613355524120
72262000150
oct563464520
9223263123
1097413456
114aa95198
1228759640
13172493ca
14cd1a760
1588433a6
hex5ce6950

97413456 has 80 divisors (see below), whose sum is σ = 302758400. Its totient is φ = 26365824.

The previous prime is 97413431. The next prime is 97413461. The reversal of 97413456 is 65431479.

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 15 ways as a sum of consecutive naturals, for example, 1246 + ... + 14013.

It is an arithmetic number, because the mean of its divisors is an integer number (3784480).

Almost surely, 297413456 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 97413456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151379200).

97413456 is an abundant number, since it is smaller than the sum of its proper divisors (205344944).

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

97413456 is a wasteful number, since it uses less digits than its factorization.

97413456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15296 (or 15290 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 97413456 is about 9869.8255303729. The cubic root of 97413456 is about 460.1219840322.

The spelling of 97413456 in words is "ninety-seven million, four hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 15259 30518 45777 61036 91554 106813 122072 183108 213626 244144 289921 320439 366216 427252 579842 640878 732432 854504 869763 1159684 1281756 1709008 1739526 2029447 2319368 2563512 3479052 4058894 4638736 5127024 6088341 6958104 8117788 12176682 13916208 16235576 24353364 32471152 48706728 97413456