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492475032 = 23337378803
BaseRepresentation
bin11101010110101…
…001001010011000
31021022200022202000
4131112221022120
52002033200112
6120511241000
715126653160
oct3526511230
91238608660
10492475032
11232a97865
12118b19160
137b04bc5a
14495975a0
152d37d7dc
hex1d5a9298

492475032 has 128 divisors (see below), whose sum is σ = 1605849600. Its totient is φ = 136888704.

The previous prime is 492475007. The next prime is 492475073. The reversal of 492475032 is 230574294.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51543 + ... + 60345.

It is an arithmetic number, because the mean of its divisors is an integer number (12545700).

Almost surely, 2492475032 is an apocalyptic number.

492475032 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 492475032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802924800).

492475032 is an abundant number, since it is smaller than the sum of its proper divisors (1113374568).

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

492475032 is a wasteful number, since it uses less digits than its factorization.

492475032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862 (or 8852 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 492475032 is about 22191.7784776254. The cubic root of 492475032 is about 789.6986683916.

The spelling of 492475032 in words is "four hundred ninety-two million, four hundred seventy-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1332 1512 1554 1998 2072 2331 2664 3108 3996 4662 6216 6993 7992 8803 9324 13986 17606 18648 26409 27972 35212 52818 55944 61621 70424 79227 105636 123242 158454 184863 211272 237681 246484 316908 325711 369726 475362 492968 554589 633816 651422 739452 950724 977133 1109178 1302844 1478904 1663767 1901448 1954266 2218356 2279977 2605688 2931399 3327534 3908532 4436712 4559954 5862798 6655068 6839931 7817064 8794197 9119908 11725596 13310136 13679862 17588394 18239816 20519793 23451192 27359724 35176788 41039586 54719448 61559379 70353576 82079172 123118758 164158344 246237516 492475032