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445113756 = 2232234191283
BaseRepresentation
bin11010100001111…
…110010110011100
31011000120010021200
4122201332112130
51402422120011
6112100155500
714013255513
oct3241762634
91130503250
10445113756
1120928960a
12105098b90
13712a8929
144318967a
1529125856
hex1a87e59c

445113756 has 72 divisors (see below), whose sum is σ = 1177787520. Its totient is φ = 141471264.

The previous prime is 445113749. The next prime is 445113761. The reversal of 445113756 is 657311544.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 445113756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346291 + ... + 347573.

It is an arithmetic number, because the mean of its divisors is an integer number (16358160).

Almost surely, 2445113756 is an apocalyptic number.

445113756 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445113756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588893760).

445113756 is an abundant number, since it is smaller than the sum of its proper divisors (732673764).

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

445113756 is a wasteful number, since it uses less digits than its factorization.

445113756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1730 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 445113756 is about 21097.7192132230. The cubic root of 445113756 is about 763.5257214623.

The spelling of 445113756 in words is "four hundred forty-five million, one hundred thirteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 419 828 838 1257 1283 1676 2514 2566 3771 3849 5028 5132 7542 7698 9637 11547 15084 15396 19274 23094 28911 29509 38548 46188 57822 59018 86733 88527 115644 118036 173466 177054 265581 346932 354108 531162 537577 1062324 1075154 1612731 2150308 3225462 4838193 6450924 9676386 12364271 19352772 24728542 37092813 49457084 74185626 111278439 148371252 222556878 445113756