Search a number
-
+
445107672 = 233231474243
BaseRepresentation
bin11010100001111…
…100110111011000
31011000112210221100
4122201330313120
51402421421142
6112100111400
714013232002
oct3241746730
91130483840
10445107672
11209284a89
12105095560
13712a5c29
1443187372
1529123b4c
hex1a87cdd8

445107672 has 96 divisors (see below), whose sum is σ = 1271162880. Its totient is φ = 140495040.

The previous prime is 445107629. The next prime is 445107697. The reversal of 445107672 is 276701544.

445107672 is a `hidden beast` number, since 4 + 4 + 510 + 76 + 72 = 666.

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

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, 102783 + ... + 107025.

It is an arithmetic number, because the mean of its divisors is an integer number (13241280).

Almost surely, 2445107672 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 445107672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635581440).

445107672 is an abundant number, since it is smaller than the sum of its proper divisors (826055208).

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

445107672 is a wasteful number, since it uses less digits than its factorization.

445107672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 445107672 is about 21097.5750265285. The cubic root of 445107672 is about 763.5222427173.

The spelling of 445107672 in words is "four hundred forty-five million, one hundred seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 93 94 124 141 186 188 248 279 282 372 376 423 558 564 744 846 1116 1128 1457 1692 2232 2914 3384 4243 4371 5828 8486 8742 11656 12729 13113 16972 17484 25458 26226 33944 34968 38187 50916 52452 76374 101832 104904 131533 152748 199421 263066 305496 394599 398842 526132 598263 789198 797684 1052264 1183797 1196526 1578396 1595368 1794789 2367594 2393052 3156792 3589578 4735188 4786104 6182051 7179156 9470376 12364102 14358312 18546153 24728204 37092306 49456408 55638459 74184612 111276918 148369224 222553836 445107672