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445454772 = 223719793533
BaseRepresentation
bin11010100011010…
…001100110110100
31011001012110001220
4122203101212310
51403014023042
6112111350340
714016205650
oct3243214664
91131173056
10445454772
112094a1844
121052223b0
1371397c09
1443237a60
15291918ec
hex1a8d19b4

445454772 has 96 divisors (see below), whose sum is σ = 1266585600. Its totient is φ = 119014272.

The previous prime is 445454741. The next prime is 445454783. The reversal of 445454772 is 277454544.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124318 + ... + 127850.

It is an arithmetic number, because the mean of its divisors is an integer number (13193600).

Almost surely, 2445454772 is an apocalyptic number.

445454772 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 445454772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633292800).

445454772 is an abundant number, since it is smaller than the sum of its proper divisors (821130828).

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

445454772 is a wasteful number, since it uses less digits than its factorization.

445454772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3643 counting only the distinct ones).

The product of its digits is 627200, while the sum is 42.

The square root of 445454772 is about 21105.7994873447. The cubic root of 445454772 is about 763.7206589125.

The spelling of 445454772 in words is "four hundred forty-five million, four hundred fifty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 79 84 114 133 158 228 237 266 316 399 474 532 553 798 948 1106 1501 1596 1659 2212 3002 3318 3533 4503 6004 6636 7066 9006 10507 10599 14132 18012 21014 21198 24731 31521 42028 42396 49462 63042 67127 74193 98924 126084 134254 148386 201381 268508 279107 296772 402762 469889 558214 805524 837321 939778 1116428 1409667 1674642 1879556 1953749 2819334 3349284 3907498 5303033 5638668 5861247 7814996 10606066 11722494 15909099 21212132 23444988 31818198 37121231 63636396 74242462 111363693 148484924 222727386 445454772