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4524393984 = 29311331809
BaseRepresentation
bin1000011011010110…
…01100011000000000
3102200022110000202120
410031223030120000
533231221101414
62024541244240
7220055500005
oct41553143000
912608400676
104524393984
111a119a2190
12a63263680
13571467c06
1430cc598ac
151b730b2a9
hex10dacc600

4524393984 has 160 divisors (see below), whose sum is σ = 13205047680. Its totient is φ = 1365196800.

The previous prime is 4524393971. The next prime is 4524394031. The reversal of 4524393984 is 4893934254.

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, 5592172 + ... + 5592980.

It is an arithmetic number, because the mean of its divisors is an integer number (82531548).

Almost surely, 24524393984 is an apocalyptic number.

4524393984 is a gapful number since it is divisible by the number (44) 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 4524393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602523840).

4524393984 is an abundant number, since it is smaller than the sum of its proper divisors (8680653696).

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

4524393984 is a wasteful number, since it uses less digits than its factorization.

4524393984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1156 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The square root of 4524393984 is about 67263.6156030881. The cubic root of 4524393984 is about 1653.9414782098.

The spelling of 4524393984 in words is "four billion, five hundred twenty-four million, three hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 331 352 384 512 528 662 704 768 809 993 1056 1324 1408 1536 1618 1986 2112 2427 2648 2816 3236 3641 3972 4224 4854 5296 5632 6472 7282 7944 8448 8899 9708 10592 10923 12944 14564 15888 16896 17798 19416 21184 21846 25888 26697 29128 31776 35596 38832 42368 43692 51776 53394 58256 63552 71192 77664 84736 87384 103552 106788 116512 127104 142384 155328 169472 174768 207104 213576 233024 254208 267779 284768 310656 349536 414208 427152 466048 508416 535558 569536 621312 699072 803337 854304 932096 1071116 1139072 1242624 1398144 1606674 1708608 1864192 2142232 2278144 2796288 2945569 3213348 3417216 4284464 4556288 5592576 5891138 6426696 6834432 8568928 8836707 11782276 12853392 13668864 17137856 17673414 23564552 25706784 34275712 35346828 47129104 51413568 68551424 70693656 94258208 102827136 137102848 141387312 188516416 205654272 282774624 377032832 411308544 565549248 754065664 1131098496 1508131328 2262196992 4524393984