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485430372 = 2232711317047
BaseRepresentation
bin11100111011110…
…001010001100100
31020211102102021200
4130323301101210
51443232232442
6120100242500
715013042620
oct3473612144
91224372250
10485430372
1122a016029
121166a0430
137975360b
1448682180
152c93b34c
hex1cef1464

485430372 has 72 divisors (see below), whose sum is σ = 1414847616. Its totient is φ = 137458944.

The previous prime is 485430353. The next prime is 485430383. The reversal of 485430372 is 273034584.

It is a happy number.

485430372 is a `hidden beast` number, since 48 + 543 + 0 + 3 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 19953 + ... + 36999.

Almost surely, 2485430372 is an apocalyptic number.

485430372 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 485430372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707423808).

485430372 is an abundant number, since it is smaller than the sum of its proper divisors (929417244).

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

485430372 is a wasteful number, since it uses less digits than its factorization.

485430372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17177 (or 17172 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 485430372 is about 22032.4844717975. The cubic root of 485430372 is about 785.9151278714.

The spelling of 485430372 in words is "four hundred eighty-five million, four hundred thirty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4068 4746 7119 9492 14238 17047 28476 34094 51141 68188 102282 119329 153423 204564 238658 306846 357987 477316 613692 715974 1073961 1431948 1926311 2147922 3852622 4295844 5778933 7705244 11557866 13484177 17336799 23115732 26968354 34673598 40452531 53936708 69347196 80905062 121357593 161810124 242715186 485430372