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97649253 = 33133773103
BaseRepresentation
bin1011101001000…
…00001001100101
320210202002121000
411310200021211
5144444234003
613404543513
72264001462
oct564401145
9223662530
1097649253
1150136369
1228851b99
13172cc830
14cd7c669
15888d1a3
hex5d20265

97649253 has 64 divisors (see below), whose sum is σ = 163770880. Its totient is φ = 57106944.

The previous prime is 97649239. The next prime is 97649261. The reversal of 97649253 is 35294679.

It is a happy number.

It is not a de Polignac number, because 97649253 - 212 = 97645157 is a prime.

It is a super-2 number, since 2×976492532 = 19070753222916018, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97649199 and 97649208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97649203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 948000 + ... + 948102.

It is an arithmetic number, because the mean of its divisors is an integer number (2558920).

Almost surely, 297649253 is an apocalyptic number.

It is an amenable number.

97649253 is a deficient number, since it is larger than the sum of its proper divisors (66121627).

97649253 is a wasteful number, since it uses less digits than its factorization.

97649253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 97649253 is about 9881.7636583760. The cubic root of 97649253 is about 460.4929388088.

The spelling of 97649253 in words is "ninety-seven million, six hundred forty-nine thousand, two hundred fifty-three".

Divisors: 1 3 9 13 27 37 39 73 103 111 117 219 309 333 351 481 657 927 949 999 1339 1443 1971 2701 2781 2847 3811 4017 4329 7519 8103 8541 11433 12051 12987 22557 24309 25623 34299 35113 36153 49543 67671 72927 97747 102897 105339 148629 203013 278203 293241 316017 445887 834609 879723 948051 1337661 2503827 2639169 3616639 7511481 10849917 32549751 97649253