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97153938 = 2337318291
BaseRepresentation
bin1011100101001…
…11001110010010
320202210221011000
411302213032102
5144332411223
613350202430
72256536430
oct562471622
9222727130
1097153938
114a928212
1228653416
131718824b
14cc8dd50
1587e1543
hex5ca7392

97153938 has 64 divisors (see below), whose sum is σ = 254730240. Its totient is φ = 26859600.

The previous prime is 97153933. The next prime is 97153999. The reversal of 97153938 is 83935179.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 97153893 and 97153902.

It is not an unprimeable number, because it can be changed into a prime (97153933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7573 + ... + 15863.

It is an arithmetic number, because the mean of its divisors is an integer number (3980160).

Almost surely, 297153938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97153938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127365120).

97153938 is an abundant number, since it is smaller than the sum of its proper divisors (157576302).

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

97153938 is a wasteful number, since it uses less digits than its factorization.

97153938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340 (or 8334 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 97153938 is about 9856.6697215642. The cubic root of 97153938 is about 459.7130188553.

The spelling of 97153938 in words is "ninety-seven million, one hundred fifty-three thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 8291 11718 16582 24873 49746 58037 74619 116074 149238 174111 223857 257021 348222 447714 514042 522333 771063 1044666 1542126 1566999 1799147 2313189 3133998 3598294 4626378 5397441 6939567 10794882 13879134 16192323 32384646 48576969 97153938