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103926852 = 22325354469
BaseRepresentation
bin1100011000111…
…00110001000100
321020120000211200
412030130301010
5203101124402
614151302500
72401235511
oct614346104
9236500750
10103926852
1153733867
122a97aa30
13186b9ca3
14db34308
1591cd21c
hex631cc44

103926852 has 36 divisors (see below), whose sum is σ = 267665580. Its totient is φ = 33988032.

The previous prime is 103926839. The next prime is 103926869. The reversal of 103926852 is 258629301.

It can be written as a sum of positive squares in 2 ways, for example, as 75794436 + 28132416 = 8706^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25327 + ... + 29142.

It is an arithmetic number, because the mean of its divisors is an integer number (7435155).

Almost surely, 2103926852 is an apocalyptic number.

103926852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103926852 is an abundant number, since it is smaller than the sum of its proper divisors (163738728).

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

103926852 is a wasteful number, since it uses less digits than its factorization.

103926852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54532 (or 54527 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 103926852 is about 10194.4520205845. The cubic root of 103926852 is about 470.1566582047.

The spelling of 103926852 in words is "one hundred three million, nine hundred twenty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 54469 108938 163407 217876 326814 490221 653628 980442 1960884 2886857 5773714 8660571 11547428 17321142 25981713 34642284 51963426 103926852