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642292848 = 243323127509
BaseRepresentation
bin100110010010001…
…001110001110000
31122202120212011000
4212102021301300
52303411332343
6143422322000
721626253621
oct4622116160
91582525130
10642292848
112aa61513a
1215b129300
13a30b5c52
1461435a48
153b5c3ed3
hex26489c70

642292848 has 160 divisors (see below), whose sum is σ = 1942732800. Its totient is φ = 202777344.

The previous prime is 642292843. The next prime is 642292867. The reversal of 642292848 is 848292246.

It is a super-2 number, since 2×6422928482 = 825080205183902208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642292843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261618 + ... + 1262126.

It is an arithmetic number, because the mean of its divisors is an integer number (12142080).

Almost surely, 2642292848 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 642292848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971366400).

642292848 is an abundant number, since it is smaller than the sum of its proper divisors (1300439952).

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

642292848 is a wasteful number, since it uses less digits than its factorization.

642292848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 642292848 is about 25343.4971541025. The cubic root of 642292848 is about 862.8017726639.

The spelling of 642292848 in words is "six hundred forty-two million, two hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 127 138 144 184 207 216 254 276 368 381 414 432 508 509 552 621 762 828 1016 1018 1104 1143 1242 1524 1527 1656 2032 2036 2286 2484 2921 3048 3054 3312 3429 4072 4572 4581 4968 5842 6096 6108 6858 8144 8763 9144 9162 9936 11684 11707 12216 13716 13743 17526 18288 18324 23368 23414 24432 26289 27432 27486 35052 35121 36648 46736 46828 52578 54864 54972 64643 70104 70242 73296 78867 93656 105156 105363 109944 129286 140208 140484 157734 187312 193929 210312 210726 219888 258572 280968 315468 316089 387858 420624 421452 517144 561936 581787 630936 632178 775716 842904 1034288 1163574 1261872 1264356 1486789 1551432 1685808 1745361 2327148 2528712 2973578 3102864 3490722 4460367 4654296 5057424 5947156 6981444 8920734 9308592 11894312 13381101 13962888 17841468 23788624 26762202 27925776 35682936 40143303 53524404 71365872 80286606 107048808 160573212 214097616 321146424 642292848