Search a number
-
+
3625071104 = 2919537989
BaseRepresentation
bin1101100000010010…
…0011001000000000
3100100122012200200202
43120010203020000
524411004233404
61355413504332
7155555411264
oct33004431000
910318180622
103625071104
1115a0292636
128520420a8
1345a04a7b5
142656380a4
151633b521e
hexd8123200

3625071104 has 160 divisors (see below), whose sum is σ = 7954848000. Its totient is φ = 1644724224.

The previous prime is 3625071091. The next prime is 3625071133. The reversal of 3625071104 is 4011705263.

It is a super-2 number, since 2×36250711042 = 26282281018111557632, which contains 22 as substring.

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, 40731092 + ... + 40731180.

It is an arithmetic number, because the mean of its divisors is an integer number (49717800).

Almost surely, 23625071104 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 3625071104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977424000).

3625071104 is an abundant number, since it is smaller than the sum of its proper divisors (4329776896).

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

3625071104 is an equidigital number, since it uses as much as digits as its factorization.

3625071104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 3625071104 is about 60208.5633776459. The cubic root of 3625071104 is about 1536.1684566400.

Adding to 3625071104 its reverse (4011705263), we get a palindrome (7636776367).

The spelling of 3625071104 in words is "three billion, six hundred twenty-five million, seventy-one thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 79 89 106 128 152 158 178 212 256 304 316 356 424 512 608 632 712 848 1007 1216 1264 1424 1501 1691 1696 2014 2432 2528 2848 3002 3382 3392 4028 4187 4717 4864 5056 5696 6004 6764 6784 7031 8056 8374 9434 9728 10112 11392 12008 13528 13568 14062 16112 16748 18868 20224 22784 24016 27056 27136 28124 32224 33496 37736 40448 45568 48032 54112 56248 64448 66992 75472 79553 89623 96064 108224 112496 128896 133589 133984 150944 159106 179246 192128 216448 224992 257792 267178 267968 301888 318212 358492 372643 384256 432896 449984 515584 534356 535936 603776 636424 716984 745286 768512 865792 899968 1068712 1071872 1207552 1272848 1433968 1490572 1799936 2137424 2143744 2415104 2545696 2867936 2981144 3599872 4274848 5091392 5735872 5962288 7080217 8549696 10182784 11471744 11924576 14160434 17099392 20365568 22943488 23849152 28320868 34198784 40731136 45886976 47698304 56641736 68397568 95396608 113283472 190793216 226566944 453133888 906267776 1812535552 3625071104