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441637420 = 225759127421
BaseRepresentation
bin11010010100101…
…101101000101100
31010210000111122111
4122110231220230
51401024344140
6111453453404
713641566440
oct3224555054
91123014574
10441637420
11207324804
12103aa1264
137065c523
1442922820
1528b8a7ea
hex1a52da2c

441637420 has 96 divisors (see below), whose sum is σ = 1088962560. Its totient is φ = 147329280.

The previous prime is 441637403. The next prime is 441637429. The reversal of 441637420 is 24736144.

It is a super-2 number, since 2×4416374202 = 390087221488512800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441637429) 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, 1048810 + ... + 1049230.

It is an arithmetic number, because the mean of its divisors is an integer number (11343360).

Almost surely, 2441637420 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 441637420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544481280).

441637420 is an abundant number, since it is smaller than the sum of its proper divisors (647325140).

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

441637420 is a wasteful number, since it uses less digits than its factorization.

441637420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 441637420 is about 21015.1711865500. The cubic root of 441637420 is about 761.5328136532.

The spelling of 441637420 in words is "four hundred forty-one million, six hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 127 140 236 254 295 413 421 508 590 635 826 842 889 1180 1270 1652 1684 1778 2065 2105 2540 2947 3556 4130 4210 4445 5894 7493 8260 8420 8890 11788 14735 14986 17780 24839 29470 29972 37465 49678 52451 53467 58940 74930 99356 104902 106934 124195 149860 173873 209804 213868 248390 262255 267335 347746 374269 496780 524510 534670 695492 748538 869365 1049020 1069340 1497076 1738730 1871345 3154553 3477460 3742690 6309106 7485380 12618212 15772765 22081871 31545530 44163742 63091060 88327484 110409355 220818710 441637420