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445732740 = 223351316301
BaseRepresentation
bin11010100100010…
…101011110000100
31011001201120101000
4122210111132010
51403101421430
6112121333300
714021444235
oct3244253604
91131646330
10445732740
11209671672
12105337230
13714645ab
14432ab08c
15291e8e60
hex1a915784

445732740 has 96 divisors (see below), whose sum is σ = 1397531520. Its totient is φ = 117936000.

The previous prime is 445732739. The next prime is 445732757. The reversal of 445732740 is 47237544.

445732740 is a `hidden beast` number, since 44 + 573 + 2 + 7 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 445732695 and 445732704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67590 + ... + 73890.

It is an arithmetic number, because the mean of its divisors is an integer number (14557620).

Almost surely, 2445732740 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 445732740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698765760).

445732740 is an abundant number, since it is smaller than the sum of its proper divisors (951798780).

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

445732740 is a wasteful number, since it uses less digits than its factorization.

445732740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6450 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 445732740 is about 21112.3835698388. The cubic root of 445732740 is about 763.8794821914.

The spelling of 445732740 in words is "four hundred forty-five million, seven hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 131 135 180 262 270 393 524 540 655 786 1179 1310 1572 1965 2358 2620 3537 3930 4716 5895 6301 7074 7860 11790 12602 14148 17685 18903 23580 25204 31505 35370 37806 56709 63010 70740 75612 94515 113418 126020 170127 189030 226836 283545 340254 378060 567090 680508 825431 850635 1134180 1650862 1701270 2476293 3301724 3402540 4127155 4952586 7428879 8254310 9905172 12381465 14857758 16508620 22286637 24762930 29715516 37144395 44573274 49525860 74288790 89146548 111433185 148577580 222866370 445732740