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102947949 = 3313377927
BaseRepresentation
bin1100010001011…
…01110001101101
321011201022001000
412020231301231
5202323313244
614114310513
72360020536
oct610556155
9234638030
10102947949
1153125355
122a588439
1318436560
14d95b68d
159088169
hex622dc6d

102947949 has 32 divisors (see below), whose sum is σ = 168707840. Its totient is φ = 61632576.

The previous prime is 102947927. The next prime is 102947953. The reversal of 102947949 is 949749201.

It is a happy number.

It is not a de Polignac number, because 102947949 - 27 = 102947821 is a prime.

It is a super-3 number, since 3×1029479493 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102947959) 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, 9024 + ... + 16950.

It is an arithmetic number, because the mean of its divisors is an integer number (5272120).

Almost surely, 2102947949 is an apocalyptic number.

It is an amenable number.

102947949 is a deficient number, since it is larger than the sum of its proper divisors (65759891).

102947949 is a wasteful number, since it uses less digits than its factorization.

102947949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7986 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 102947949 is about 10146.3268723218. The cubic root of 102947949 is about 468.6758397878.

The spelling of 102947949 in words is "one hundred two million, nine hundred forty-seven thousand, nine hundred forty-nine".

Divisors: 1 3 9 13 27 37 39 111 117 333 351 481 999 1443 4329 7927 12987 23781 71343 103051 214029 293299 309153 879897 927459 2639691 2782377 3812887 7919073 11438661 34315983 102947949