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642617448 = 23311320117
BaseRepresentation
bin100110010011011…
…001000001101000
31122210012100102020
4212103121001220
52304002224243
6143433304440
721632105154
oct4623310150
91583170366
10642617448
112aa817000
1215b265120
13a319a915
14614bc064
153b63a283
hex264d9068

642617448 has 64 divisors (see below), whose sum is σ = 1767165120. Its totient is φ = 194722880.

The previous prime is 642617431. The next prime is 642617453. The reversal of 642617448 is 844716246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21886 + ... + 42002.

It is an arithmetic number, because the mean of its divisors is an integer number (27611955).

Almost surely, 2642617448 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 642617448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883582560).

642617448 is an abundant number, since it is smaller than the sum of its proper divisors (1124547672).

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

642617448 is a wasteful number, since it uses less digits than its factorization.

642617448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20159 (or 20133 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 642617448 is about 25349.9003548337. The cubic root of 642617448 is about 862.9470948950.

The spelling of 642617448 in words is "six hundred forty-two million, six hundred seventeen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3993 5324 7986 10648 15972 20117 31944 40234 60351 80468 120702 160936 221287 241404 442574 482808 663861 885148 1327722 1770296 2434157 2655444 4868314 5310888 7302471 9736628 14604942 19473256 26775727 29209884 53551454 58419768 80327181 107102908 160654362 214205816 321308724 642617448