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445073728 = 26111494243
BaseRepresentation
bin11010100001110…
…100100101000000
31011000111002101011
4122201310211000
51402414324403
6112055250304
714013031021
oct3241644500
91130432334
10445073728
11209261530
12105079994
1371293648
1443178c48
1529118a6d
hex1a874940

445073728 has 56 divisors (see below), whose sum is σ = 970178400. Its totient is φ = 200901120.

The previous prime is 445073711. The next prime is 445073729. The reversal of 445073728 is 827370544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445073729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102775 + ... + 107017.

Almost surely, 2445073728 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 445073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485089200).

445073728 is an abundant number, since it is smaller than the sum of its proper divisors (525104672).

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

445073728 is a wasteful number, since it uses less digits than its factorization.

445073728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The square root of 445073728 is about 21096.7705585476. The cubic root of 445073728 is about 763.5028334377.

The spelling of 445073728 in words is "four hundred forty-five million, seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 149 176 298 352 596 704 1192 1639 2384 3278 4243 4768 6556 8486 9536 13112 16972 26224 33944 46673 52448 67888 93346 104896 135776 186692 271552 373384 632207 746768 1264414 1493536 2528828 2987072 5057656 6954277 10115312 13908554 20230624 27817108 40461248 55634216 111268432 222536864 445073728