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642617670 = 235291674423
BaseRepresentation
bin100110010011011…
…001000101000110
31122210012100201110
4212103121011012
52304002231140
6143433305450
721632105622
oct4623310506
91583170643
10642617670
112aa817192
1215b265286
13a319aa56
14614bc182
153b63a380
hex264d9146

642617670 has 64 divisors (see below), whose sum is σ = 1605381120. Its totient is φ = 164427648.

The previous prime is 642617611. The next prime is 642617683. The reversal of 642617670 is 76716246.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 143079 + ... + 147501.

It is an arithmetic number, because the mean of its divisors is an integer number (25084080).

Almost surely, 2642617670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642617670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802690560).

642617670 is an abundant number, since it is smaller than the sum of its proper divisors (962763450).

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

642617670 is a wasteful number, since it uses less digits than its factorization.

642617670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 642617670 is about 25349.9047335488. The cubic root of 642617670 is about 862.9471942669.

It can be divided in two parts, 6426176 and 70, that added together give a palindrome (6426246).

The spelling of 642617670 in words is "six hundred forty-two million, six hundred seventeen thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 167 174 290 334 435 501 835 870 1002 1670 2505 4423 4843 5010 8846 9686 13269 14529 22115 24215 26538 29058 44230 48430 66345 72645 128267 132690 145290 256534 384801 641335 738641 769602 1282670 1477282 1924005 2215923 3693205 3848010 4431846 7386410 11079615 21420589 22159230 42841178 64261767 107102945 128523534 214205890 321308835 642617670