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442775004 = 2237371091307
BaseRepresentation
bin11010011001000…
…011010111011100
31010212011022010020
4122121003113130
51401322300004
6111534112140
713654345140
oct3231032734
91125138106
10442775004
11207a31461
1210434b650
137096a259
1442b3b220
1528d128d9
hex1a6435dc

442775004 has 96 divisors (see below), whose sum is σ = 1224706560. Its totient is φ = 121865472.

The previous prime is 442774991. The next prime is 442775017. The reversal of 442775004 is 400577244.

It is an interprime number because it is at equal distance from previous prime (442774991) and next prime (442775017).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338119 + ... + 339425.

It is an arithmetic number, because the mean of its divisors is an integer number (12757360).

Almost surely, 2442775004 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 442775004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612353280).

442775004 is an abundant number, since it is smaller than the sum of its proper divisors (781931556).

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

442775004 is a wasteful number, since it uses less digits than its factorization.

442775004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 442775004 is about 21042.2195597328. The cubic root of 442775004 is about 762.1861133561.

The spelling of 442775004 in words is "four hundred forty-two million, seven hundred seventy-five thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 109 111 148 218 222 259 327 436 444 518 654 763 777 1036 1307 1308 1526 1554 2289 2614 3052 3108 3921 4033 4578 5228 7842 8066 9149 9156 12099 15684 16132 18298 24198 27447 28231 36596 48359 48396 54894 56462 84693 96718 109788 112924 142463 145077 169386 193436 284926 290154 338513 338772 427389 569852 580308 677026 854778 997241 1015539 1354052 1709556 1994482 2031078 2991723 3988964 4062156 5271131 5983446 10542262 11966892 15813393 21084524 31626786 36897917 63253572 73795834 110693751 147591668 221387502 442775004