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5463460440 = 2332522976607
BaseRepresentation
bin1010001011010010…
…11100101001011000
3112002202110112202200
411011221130221120
542142121213230
62302044530200
7252250435044
oct50551345130
915082415680
105463460440
112353a87769
121085850960
13690b8c239
1439b865024
1521e9a3160
hex145a5ca58

5463460440 has 96 divisors (see below), whose sum is σ = 17766665280. Its totient is φ = 1456068096.

The previous prime is 5463460421. The next prime is 5463460463. The reversal of 5463460440 is 440643645.

5463460440 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 4 + 604 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5463460395 and 5463460404.

It is a congruent number.

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, 823617 + ... + 830223.

It is an arithmetic number, because the mean of its divisors is an integer number (185069430).

Almost surely, 25463460440 is an apocalyptic number.

It is an amenable number.

5463460440 is an abundant number, since it is smaller than the sum of its proper divisors (12303204840).

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

5463460440 is a wasteful number, since it uses less digits than its factorization.

5463460440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8921 (or 8914 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5463460440 is about 73915.2246834169. The cubic root of 5463460440 is about 1761.2564676333.

The spelling of 5463460440 in words is "five billion, four hundred sixty-three million, four hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2297 4594 6607 6891 9188 11485 13214 13782 18376 19821 20673 22970 26428 27564 33035 34455 39642 41346 45940 52856 55128 59463 66070 68910 79284 82692 91880 99105 103365 118926 132140 137820 158568 165384 198210 206730 237852 264280 275640 297315 396420 413460 475704 594630 792840 826920 1189260 2378520 15176279 30352558 45528837 60705116 75881395 91057674 121410232 136586511 151762790 182115348 227644185 273173022 303525580 364230696 455288370 546346044 607051160 682932555 910576740 1092692088 1365865110 1821153480 2731730220 5463460440