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1445508064 = 257111345127
BaseRepresentation
bin101011000101000…
…1011001111100000
310201201222102021201
41112022023033200
510430022224224
6355234130544
750551421140
oct12612131740
93651872251
101445508064
11681a51670
12344120a54
131a0623420
14d9d9a920
1586d83a44
hex5628b3e0

1445508064 has 96 divisors (see below), whose sum is σ = 3821078016. Its totient is φ = 519851520.

The previous prime is 1445508041. The next prime is 1445508073. The reversal of 1445508064 is 4608055441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9469 + ... + 54595.

It is an arithmetic number, because the mean of its divisors is an integer number (39802896).

Almost surely, 21445508064 is an apocalyptic number.

1445508064 is a gapful number since it is divisible by the number (14) 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 1445508064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910539008).

1445508064 is an abundant number, since it is smaller than the sum of its proper divisors (2375569952).

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

1445508064 is a wasteful number, since it uses less digits than its factorization.

1445508064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45168 (or 45160 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 1445508064 is about 38019.8377692488. The cubic root of 1445508064 is about 1130.6812046334.

The spelling of 1445508064 in words is "one billion, four hundred forty-five million, five hundred eight thousand, sixty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 45127 90254 180508 315889 361016 496397 586651 631778 722032 992794 1173302 1263556 1444064 1985588 2346604 2527112 3474779 3971176 4106557 4693208 5054224 6453161 6949558 7942352 8213114 9386416 10108448 12906322 13899116 15884704 16426228 18772832 25812644 27798232 32852456 45172127 51625288 55596464 65704912 90344254 103250576 111192928 131409824 180688508 206501152 361377016 722754032 1445508064