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5402856576 = 273133134913
BaseRepresentation
bin1010000100000100…
…10000110010000000
3111221112102112220010
411002002100302000
542031112402301
62252041544520
7250613344305
oct50202206200
914845375803
105402856576
112322854127
1210694a5140
13681460470
143937ab0ac
152194d15d6
hex142090c80

5402856576 has 128 divisors (see below), whose sum is σ = 15954301440. Its totient is φ = 1608744960.

The previous prime is 5402856553. The next prime is 5402856577. The reversal of 5402856576 is 6756582045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5402856577) 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, 137296 + ... + 172208.

It is an arithmetic number, because the mean of its divisors is an integer number (124642980).

Almost surely, 25402856576 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 5402856576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7977150720).

5402856576 is an abundant number, since it is smaller than the sum of its proper divisors (10551444864).

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

5402856576 is a wasteful number, since it uses less digits than its factorization.

5402856576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34974 (or 34962 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The square root of 5402856576 is about 73504.1262515241. The cubic root of 5402856576 is about 1754.7199468716.

The spelling of 5402856576 in words is "five billion, four hundred two million, eight hundred fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3968 4836 4992 5952 6448 9672 11904 12896 19344 25792 34913 38688 51584 69826 77376 104739 139652 154752 209478 279304 418956 453869 558608 837912 907738 1082303 1117216 1361607 1675824 1815476 2164606 2234432 2723214 3246909 3351648 3630952 4329212 4468864 5446428 6493818 6703296 7261904 8658424 10892856 12987636 13406592 14069939 14523808 17316848 21785712 25975272 28139878 29047616 34633696 42209817 43571424 51950544 56279756 58095232 69267392 84419634 87142848 103901088 112559512 138534784 168839268 174285696 207802176 225119024 337678536 415604352 450238048 675357072 900476096 1350714144 1800952192 2701428288 5402856576