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642055456 = 257171391213
BaseRepresentation
bin100110010001001…
…111110100100000
31122202010210111201
4212101033310200
52303331233311
6143413250544
721624244540
oct4621176440
91582123451
10642055456
112aa472849
1215b033a54
13a3031b93
14613b3320
153b5789c1
hex2644fd20

642055456 has 96 divisors (see below), whose sum is σ = 1541877120. Its totient is φ = 256905216.

The previous prime is 642055423. The next prime is 642055459. The reversal of 642055456 is 654550246.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (642055459) 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 15 ways as a sum of consecutive naturals, for example, 528706 + ... + 529918.

It is an arithmetic number, because the mean of its divisors is an integer number (16061220).

Almost surely, 2642055456 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 642055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770938560).

642055456 is an abundant number, since it is smaller than the sum of its proper divisors (899821664).

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

642055456 is a wasteful number, since it uses less digits than its factorization.

642055456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The square root of 642055456 is about 25338.8132318781. The cubic root of 642055456 is about 862.6954621347.

The spelling of 642055456 in words is "six hundred forty-two million, fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 139 224 238 272 278 476 544 556 952 973 1112 1213 1904 1946 2224 2363 2426 3808 3892 4448 4726 4852 7784 8491 9452 9704 15568 16541 16982 18904 19408 20621 31136 33082 33964 37808 38816 41242 66164 67928 75616 82484 132328 135856 144347 164968 168607 264656 271712 288694 329936 337214 529312 577388 659872 674428 1154776 1180249 1348856 2309552 2360498 2697712 2866319 4619104 4720996 5395424 5732638 9441992 11465276 18883984 20064233 22930552 37767968 40128466 45861104 80256932 91722208 160513864 321027728 642055456