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492291936 = 25322958943
BaseRepresentation
bin11101010101111…
…100011101100000
31021022100000120200
4131111330131200
52002011320221
6120503305200
715125261313
oct3525743540
91238300520
10492291936
11232982244
12118a4b200
137acb6806
144954a97a
152d344426
hex1d57c760

492291936 has 72 divisors (see below), whose sum is σ = 1448254080. Its totient is φ = 158436096.

The previous prime is 492291923. The next prime is 492291937. The reversal of 492291936 is 639192294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 492291891 and 492291900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492291937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21120 + ... + 37823.

It is an arithmetic number, because the mean of its divisors is an integer number (20114640).

Almost surely, 2492291936 is an apocalyptic number.

It is an amenable number.

492291936 is an abundant number, since it is smaller than the sum of its proper divisors (955962144).

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

492291936 is a wasteful number, since it uses less digits than its factorization.

492291936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58988 (or 58977 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 492291936 is about 22187.6527825726. The cubic root of 492291936 is about 789.6007895953.

The spelling of 492291936 in words is "four hundred ninety-two million, two hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 58943 117886 176829 235772 353658 471544 530487 707316 943088 1060974 1414632 1709347 1886176 2121948 2829264 3418694 4243896 5128041 5658528 6837388 8487792 10256082 13674776 15384123 16975584 20512164 27349552 30768246 41024328 54699104 61536492 82048656 123072984 164097312 246145968 492291936