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441252036 = 22363892
BaseRepresentation
bin11010010011001…
…111100011000100
31010202021221000000
4122103033203010
51400430031121
6111441321300
713635403041
oct3223174304
91122257000
10441252036
11207091205
12103936230
1370555ca4
14428621c8
1528b11526
hex1a4cf8c4

441252036 has 63 divisors (see below), whose sum is σ = 1160740861. Its totient is φ = 146705904.

The previous prime is 441252013. The next prime is 441252037. The reversal of 441252036 is 630252144.

The square root of 441252036 is 21006.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 104162436 + 337089600 = 10206^2 + 18360^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441252037) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1134130 + ... + 1134518.

Almost surely, 2441252036 is an apocalyptic number.

441252036 is the 21006-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441252036

441252036 is an abundant number, since it is smaller than the sum of its proper divisors (719488825).

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

441252036 is an frugal number, since it uses more digits than its factorization.

441252036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 441252036 is about 761.3112382486.

The spelling of 441252036 in words is "four hundred forty-one million, two hundred fifty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 389 486 729 778 972 1167 1458 1556 2334 2916 3501 4668 7002 10503 14004 21006 31509 42012 63018 94527 126036 151321 189054 283581 302642 378108 453963 567162 605284 907926 1134324 1361889 1815852 2723778 4085667 5447556 8171334 12257001 16342668 24514002 36771003 49028004 73542006 110313009 147084012 220626018 441252036