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485148432 = 243195310037
BaseRepresentation
bin11100111010101…
…100011100010000
31020210220002112110
4130322230130100
51443144222212
6120050225320
715010456626
oct3472543420
91223802473
10485148432
1122994321a
12116585240
13796851a2
144860b516
152c8d2a3c
hex1ceac710

485148432 has 80 divisors (see below), whose sum is σ = 1344288960. Its totient is φ = 150299136.

The previous prime is 485148383. The next prime is 485148439. The reversal of 485148432 is 234841584.

It is not an unprimeable number, because it can be changed into a prime (485148439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43318 + ... + 53354.

It is an arithmetic number, because the mean of its divisors is an integer number (16803612).

Almost surely, 2485148432 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 485148432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672144480).

485148432 is an abundant number, since it is smaller than the sum of its proper divisors (859140528).

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

485148432 is a wasteful number, since it uses less digits than its factorization.

485148432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120 (or 10114 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 485148432 is about 22026.0852627061. The cubic root of 485148432 is about 785.7629441349.

The spelling of 485148432 in words is "four hundred eighty-five million, one hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 424 456 636 848 912 1007 1272 2014 2544 3021 4028 6042 8056 10037 12084 16112 20074 24168 30111 40148 48336 60222 80296 120444 160592 190703 240888 381406 481776 531961 572109 762812 1063922 1144218 1525624 1595883 2127844 2288436 3051248 3191766 4255688 4576872 6383532 8511376 9153744 10107259 12767064 20214518 25534128 30321777 40429036 60643554 80858072 121287108 161716144 242574216 485148432