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493123932 = 223273176173
BaseRepresentation
bin11101011001000…
…111100101011100
31021100220021212100
4131121013211130
52002214431212
6120533205100
715135325050
oct3531074534
91240807770
10493123932
112333a0344
12119190790
137b218412
14496c5c60
152d45abdc
hex1d64795c

493123932 has 72 divisors (see below), whose sum is σ = 1429305696. Its totient is φ = 140425344.

The previous prime is 493123921. The next prime is 493123973. The reversal of 493123932 is 239321394.

It is a super-2 number, since 2×4931239322 = 486342424622281248, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76798 + ... + 82970.

It is an arithmetic number, because the mean of its divisors is an integer number (19851468).

Almost surely, 2493123932 is an apocalyptic number.

493123932 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493123932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714652848).

493123932 is an abundant number, since it is smaller than the sum of its proper divisors (936181764).

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

493123932 is a wasteful number, since it uses less digits than its factorization.

493123932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507 (or 6502 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 493123932 is about 22206.3939440874. The cubic root of 493123932 is about 790.0453597840.

The spelling of 493123932 in words is "four hundred ninety-three million, one hundred twenty-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 317 634 951 1268 1902 2219 2853 3804 4438 5706 6173 6657 8876 11412 12346 13314 18519 19971 24692 26628 37038 39942 43211 55557 74076 79884 86422 111114 129633 172844 222228 259266 388899 518532 777798 1555596 1956841 3913682 5870523 7827364 11741046 13697887 17611569 23482092 27395774 35223138 41093661 54791548 70446276 82187322 123280983 164374644 246561966 493123932