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5322446272 = 261113718191
BaseRepresentation
bin1001111010011111…
…00001010111000000
3111201221010021200201
410331033201113000
541400021240042
62240050254544
7245616022033
oct47517412700
914657107621
105322446272
112291422730
121046587454
1366a8b83c0
14386c3901a
152123eb1b7
hex13d3e15c0

5322446272 has 112 divisors (see below), whose sum is σ = 12584484864. Its totient is φ = 2201472000.

The previous prime is 5322446257. The next prime is 5322446273. The reversal of 5322446272 is 2726442235.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5322446273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645697 + ... + 653887.

It is an arithmetic number, because the mean of its divisors is an integer number (112361472).

Almost surely, 25322446272 is an apocalyptic number.

5322446272 is a gapful number since it is divisible by the number (52) 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 5322446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292242432).

5322446272 is an abundant number, since it is smaller than the sum of its proper divisors (7262038592).

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

5322446272 is a wasteful number, since it uses less digits than its factorization.

5322446272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298 (or 8288 counting only the distinct ones).

The product of its digits is 161280, while the sum is 37.

The square root of 5322446272 is about 72955.0976423169. The cubic root of 5322446272 is about 1745.9712791053.

The spelling of 5322446272 in words is "five billion, three hundred twenty-two million, four hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 71 88 104 142 143 176 208 284 286 352 416 568 572 704 781 832 923 1136 1144 1562 1846 2272 2288 3124 3692 4544 4576 6248 7384 8191 9152 10153 12496 14768 16382 20306 24992 29536 32764 40612 49984 59072 65528 81224 90101 106483 131056 162448 180202 212966 262112 324896 360404 425932 524224 581561 649792 720808 851864 1163122 1171313 1441616 1703728 2326244 2342626 2883232 3407456 4652488 4685252 5766464 6397171 6814912 7560293 9304976 9370504 12794342 15120586 18609952 18741008 25588684 30241172 37219904 37482016 51177368 60482344 74964032 83163223 102354736 120964688 166326446 204709472 241929376 332652892 409418944 483858752 665305784 1330611568 2661223136 5322446272