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4519029040 = 245373114909
BaseRepresentation
bin1000011010101101…
…01110100100110000
3102122221100110102221
410031112232210300
533223332412130
62024230250424
7216662053531
oct41526564460
912587313387
104519029040
111a09968449
12a614b6a14
13570309ca6
1430c260688
151b6aeb87a
hex10d5ae930

4519029040 has 80 divisors (see below), whose sum is σ = 10827610560. Its totient is φ = 1752744960.

The previous prime is 4519029037. The next prime is 4519029041. The reversal of 4519029040 is 409209154.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4519028987 and 4519029005.

It is not an unprimeable number, because it can be changed into a prime (4519029041) 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, 918106 + ... + 923014.

It is an arithmetic number, because the mean of its divisors is an integer number (135345132).

Almost surely, 24519029040 is an apocalyptic number.

4519029040 is a gapful number since it is divisible by the number (40) 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 4519029040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413805280).

4519029040 is an abundant number, since it is smaller than the sum of its proper divisors (6308581520).

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

4519029040 is a wasteful number, since it uses less digits than its factorization.

4519029040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 4519029040 is about 67223.7237885555. The cubic root of 4519029040 is about 1653.2874817467.

The spelling of 4519029040 in words is "four billion, five hundred nineteen million, twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 311 370 592 622 740 1244 1480 1555 2488 2960 3110 4909 4976 6220 9818 11507 12440 19636 23014 24545 24880 39272 46028 49090 57535 78544 92056 98180 115070 181633 184112 196360 230140 363266 392720 460280 726532 908165 920560 1453064 1526699 1816330 2906128 3053398 3632660 6106796 7265320 7633495 12213592 14530640 15266990 24427184 30533980 56487863 61067960 112975726 122135920 225951452 282439315 451902904 564878630 903805808 1129757260 2259514520 4519029040