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485131428 = 223273367503
BaseRepresentation
bin11100111010101…
…000010010100100
31020210212020012200
4130322220102210
51443143201203
6120050014500
715010356225
oct3472502244
91223766180
10485131428
11229931471
12116577430
137967a522
144860524c
152c8cc9a3
hex1cea84a4

485131428 has 72 divisors (see below), whose sum is σ = 1248968448. Its totient is φ = 158744448.

The previous prime is 485131421. The next prime is 485131477. The reversal of 485131428 is 824131584.

485131428 is a `hidden beast` number, since 485 + 131 + 42 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 485131392 and 485131401.

It is not an unprimeable number, because it can be changed into a prime (485131421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964225 + ... + 964727.

It is an arithmetic number, because the mean of its divisors is an integer number (17346784).

Almost surely, 2485131428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485131428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624484224).

485131428 is an abundant number, since it is smaller than the sum of its proper divisors (763837020).

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

485131428 is a wasteful number, since it uses less digits than its factorization.

485131428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 948 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 485131428 is about 22025.6992624525. The cubic root of 485131428 is about 785.7537639416.

The spelling of 485131428 in words is "four hundred eighty-five million, one hundred thirty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 367 438 503 657 734 876 1006 1101 1314 1468 1509 2012 2202 2628 3018 3303 4404 4527 6036 6606 9054 13212 18108 26791 36719 53582 73438 80373 107164 110157 146876 160746 184601 220314 241119 321492 330471 369202 440628 482238 553803 660942 738404 964476 1107606 1321884 1661409 2215212 3322818 6645636 13475873 26951746 40427619 53903492 80855238 121282857 161710476 242565714 485131428