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488131301 = 7312149487
BaseRepresentation
bin11101000110000…
…100101011100101
31021000111122021002
4131012010223211
51444430200201
6120234203045
715045022220
oct3506045345
91230448232
10488131301
112305a02a9
12117583485
137a18aab8
1448b865b7
152ccc176b
hex1d184ae5

488131301 has 24 divisors (see below), whose sum is σ = 581500800. Its totient is φ = 401358240.

The previous prime is 488131291. The next prime is 488131307. The reversal of 488131301 is 103131884.

It is not a de Polignac number, because 488131301 - 210 = 488130277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488131307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002080 + ... + 1002566.

It is an arithmetic number, because the mean of its divisors is an integer number (24229200).

Almost surely, 2488131301 is an apocalyptic number.

It is an amenable number.

488131301 is a deficient number, since it is larger than the sum of its proper divisors (93369499).

488131301 is a wasteful number, since it uses less digits than its factorization.

488131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 488131301 is about 22093.6936929976. The cubic root of 488131301 is about 787.3700404002.

The spelling of 488131301 in words is "four hundred eighty-eight million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 7 31 149 217 487 961 1043 3409 4619 6727 15097 32333 72563 105679 143189 468007 507941 1002323 2249453 3276049 15746171 69733043 488131301