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4528861344 = 253274747797
BaseRepresentation
bin1000011011111000…
…01111000010100000
3102200121211222211100
410031330033002200
533233342030334
62025221114400
7220141454250
oct41574170240
912617758740
104528861344
111a14473617
12a64858a00
13572370417
1430d69d960
151b78dec99
hex10df0f0a0

4528861344 has 144 divisors (see below), whose sum is σ = 15032279808. Its totient is φ = 1266402816.

The previous prime is 4528861333. The next prime is 4528861367. The reversal of 4528861344 is 4431688254.

4528861344 is a `hidden beast` number, since 4 + 5 + 28 + 8 + 613 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4528861344.

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, 70854 + ... + 118650.

It is an arithmetic number, because the mean of its divisors is an integer number (104390832).

Almost surely, 24528861344 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 4528861344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516139904).

4528861344 is an abundant number, since it is smaller than the sum of its proper divisors (10503418464).

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

4528861344 is a wasteful number, since it uses less digits than its factorization.

4528861344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47867 (or 47856 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 4528861344 is about 67296.8152589705. The cubic root of 4528861344 is about 1654.4856631688.

The spelling of 4528861344 in words is "four billion, five hundred twenty-eight million, eight hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4512 5264 5922 6768 7896 10528 11844 13536 15792 23688 31584 47376 47797 94752 95594 143391 191188 286782 334579 382376 430173 573564 669158 764752 860346 1003737 1147128 1338316 1529504 1720692 2007474 2246459 2294256 2676632 3011211 3441384 4014948 4492918 4588512 5353264 6022422 6739377 6882768 8029896 8985836 10706528 12044844 13478754 13765536 15725213 16059792 17971672 20218131 24089688 26957508 31450426 32119584 35943344 40436262 47175639 48179376 53915016 62900852 71886688 80872524 94351278 96358752 107830032 125801704 141526917 161745048 188702556 215660064 251603408 283053834 323490096 377405112 503206816 566107668 646980192 754810224 1132215336 1509620448 2264430672 4528861344