Search a number
-
+
642155607 = 34233111119
BaseRepresentation
bin100110010001101…
…000010001010111
31122202022212220000
4212101220101113
52303342434412
6143415342343
721625142532
oct4621502127
91582285800
10642155607
112aa531015
1215b0819b3
13a3068642
14613dba19
153b5984dc
hex26468457

642155607 has 40 divisors (see below), whose sum is σ = 1033359360. Its totient is φ = 396245520.

The previous prime is 642155567. The next prime is 642155611. The reversal of 642155607 is 706551246.

It is a happy number.

642155607 is a `hidden beast` number, since 6 + 42 + 1 + 5 + 5 + 607 = 666.

It is not a de Polignac number, because 642155607 - 211 = 642153559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642156607) 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 39 ways as a sum of consecutive naturals, for example, 52194 + ... + 63312.

It is an arithmetic number, because the mean of its divisors is an integer number (25833984).

Almost surely, 2642155607 is an apocalyptic number.

642155607 is a deficient number, since it is larger than the sum of its proper divisors (391203753).

642155607 is a wasteful number, since it uses less digits than its factorization.

642155607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11185 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 642155607 is about 25340.7893918086. The cubic root of 642155607 is about 862.7403156441.

The spelling of 642155607 in words is "six hundred forty-two million, one hundred fifty-five thousand, six hundred seven".

Divisors: 1 3 9 23 27 31 69 81 93 207 279 621 713 837 1863 2139 2511 6417 11119 19251 33357 57753 100071 255737 300213 344689 767211 900639 1034067 2301633 3102201 6904899 7927847 9306603 20714697 23783541 27919809 71350623 214051869 642155607