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97393506 = 23719312127
BaseRepresentation
bin1011100111000…
…01101101100010
320210021002202220
411303201231202
5144413043011
613355251510
72261555040
oct563415542
9223232686
1097393506
114aa81201
1228749b96
13172402c2
14cd13390
15883c506
hex5ce1b62

97393506 has 96 divisors (see below), whose sum is σ = 244039680. Its totient is φ = 25310880.

The previous prime is 97393463. The next prime is 97393507. The reversal of 97393506 is 60539379.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97393507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766815 + ... + 766941.

It is an arithmetic number, because the mean of its divisors is an integer number (2542080).

Almost surely, 297393506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97393506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122019840).

97393506 is an abundant number, since it is smaller than the sum of its proper divisors (146646174).

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

97393506 is a wasteful number, since it uses less digits than its factorization.

97393506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 42.

The square root of 97393506 is about 9868.8148224597. The cubic root of 97393506 is about 460.0905713278.

The spelling of 97393506 in words is "ninety-seven million, three hundred ninety-three thousand, five hundred six".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 127 133 186 217 254 266 381 399 434 589 651 762 798 889 961 1178 1302 1767 1778 1922 2413 2667 2883 3534 3937 4123 4826 5334 5766 6727 7239 7874 8246 11811 12369 13454 14478 16891 18259 20181 23622 24738 27559 33782 36518 40362 50673 54777 55118 74803 82677 101346 109554 122047 127813 149606 165354 224409 244094 255626 366141 383439 448818 523621 732282 766878 854329 1047242 1570863 1708658 2318893 2562987 3141726 4637786 5125974 6956679 13913358 16232251 32464502 48696753 97393506