Search a number
-
+
445402272 = 2537976833
BaseRepresentation
bin11010100011000…
…100110010100000
31011001002210001110
4122203010302200
51403010333042
6112110303320
714015566620
oct3243046240
91131083043
10445402272
11209466357
121051b7b40
137137a053
1443222880
152918109c
hex1a8c4ca0

445402272 has 96 divisors (see below), whose sum is σ = 1350179712. Its totient is φ = 125927424.

The previous prime is 445402267. The next prime is 445402283. The reversal of 445402272 is 272204544.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61768 + ... + 68600.

It is an arithmetic number, because the mean of its divisors is an integer number (14064372).

Almost surely, 2445402272 is an apocalyptic number.

445402272 is a gapful number since it is divisible by the number (42) 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 445402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675089856).

445402272 is an abundant number, since it is smaller than the sum of its proper divisors (904777440).

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

445402272 is a wasteful number, since it uses less digits than its factorization.

445402272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 445402272 is about 21104.5557167167. Note that the first 3 decimals coincide. The cubic root of 445402272 is about 763.6906544374.

The spelling of 445402272 in words is "four hundred forty-five million, four hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 97 112 168 194 224 291 336 388 582 672 679 776 1164 1358 1552 2037 2328 2716 3104 4074 4656 5432 6833 8148 9312 10864 13666 16296 20499 21728 27332 32592 40998 47831 54664 65184 81996 95662 109328 143493 163992 191324 218656 286986 327984 382648 573972 655968 662801 765296 1147944 1325602 1530592 1988403 2295888 2651204 3976806 4591776 4639607 5302408 7953612 9279214 10604816 13918821 15907224 18558428 21209632 27837642 31814448 37116856 55675284 63628896 74233712 111350568 148467424 222701136 445402272