Search a number
-
+
3252054816 = 2532179199317
BaseRepresentation
bin1100000111010110…
…0110101100100000
322101122022111112200
43001311212230200
523130011223231
61254410453200
7143406003243
oct30165465440
98348274480
103252054816
111419777a0a
12769134200
133ca9962ba
1422bc9925a
15140781be6
hexc1d66b20

3252054816 has 144 divisors (see below), whose sum is σ = 9375912000. Its totient is φ = 1069161984.

The previous prime is 3252054811. The next prime is 3252054853. The reversal of 3252054816 is 6184502523.

3252054816 is a `hidden beast` number, since 3 + 2 + 520 + 54 + 81 + 6 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (3252054811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10258690 + ... + 10259006.

It is an arithmetic number, because the mean of its divisors is an integer number (65110500).

Almost surely, 23252054816 is an apocalyptic number.

3252054816 is a gapful number since it is divisible by the number (36) 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 3252054816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687956000).

3252054816 is an abundant number, since it is smaller than the sum of its proper divisors (6123857184).

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

3252054816 is a wasteful number, since it uses less digits than its factorization.

3252054816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3252054816 is about 57026.7903357711. The cubic root of 3252054816 is about 1481.5601419910.

The spelling of 3252054816 in words is "three billion, two hundred fifty-two million, fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 199 288 317 358 398 537 597 634 716 796 951 1074 1194 1268 1432 1592 1611 1791 1902 2148 2388 2536 2853 2864 3184 3222 3582 3804 4296 4776 5072 5706 5728 6368 6444 7164 7608 8592 9552 10144 11412 12888 14328 15216 17184 19104 22824 25776 28656 30432 35621 45648 51552 56743 57312 63083 71242 91296 106863 113486 126166 142484 170229 189249 213726 226972 252332 284968 320589 340458 378498 427452 453944 504664 510687 567747 569936 641178 680916 756996 854904 907888 1009328 1021374 1135494 1139872 1282356 1361832 1513992 1709808 1815776 2018656 2042748 2270988 2564712 2723664 3027984 3419616 4085496 4541976 5129424 5447328 6055968 8170992 9083952 10258848 11291857 16341984 18167904 22583714 33875571 45167428 67751142 90334856 101626713 135502284 180669712 203253426 271004568 361339424 406506852 542009136 813013704 1084018272 1626027408 3252054816