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642797136 = 243220832143
BaseRepresentation
bin100110010100000…
…100111001010000
31122210112110220100
4212110010321100
52304024002021
6143441212400
721633454062
oct4624047120
91583473810
10642797136
112aa92a003
1215b331100
13a3231647
1461527732
153b673626
hex26504e50

642797136 has 60 divisors (see below), whose sum is σ = 1800642688. Its totient is φ = 214062912.

The previous prime is 642797117. The next prime is 642797137. The reversal of 642797136 is 631797246.

642797136 is a `hidden beast` number, since 6 + 427 + 97 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 642797091 and 642797100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642797137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298881 + ... + 301023.

Almost surely, 2642797136 is an apocalyptic number.

It is an amenable number.

642797136 is an abundant number, since it is smaller than the sum of its proper divisors (1157845552).

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

642797136 is a wasteful number, since it uses less digits than its factorization.

642797136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4231 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 642797136 is about 25353.4442630582. Note that the first 3 decimals coincide. The cubic root of 642797136 is about 863.0275195124.

The spelling of 642797136 in words is "six hundred forty-two million, seven hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2083 2143 4166 4286 6249 6429 8332 8572 12498 12858 16664 17144 18747 19287 24996 25716 33328 34288 37494 38574 49992 51432 74988 77148 99984 102864 149976 154296 299952 308592 4463869 8927738 13391607 17855476 26783214 35710952 40174821 53566428 71421904 80349642 107132856 160699284 214265712 321398568 642797136