Search a number
-
+
4809087552 = 263131263727
BaseRepresentation
bin1000111101010010…
…01101101001000000
3110102011010221220210
410132221031221000
534322111300202
62113111234120
7230113366263
oct43651155100
913364127823
104809087552
112048671725
12b22678940
135b8436a49
143389a6cda
151d22e4c6c
hex11ea4da40

4809087552 has 112 divisors (see below), whose sum is σ = 12887626752. Its totient is φ = 1582563840.

The previous prime is 4809087541. The next prime is 4809087593. The reversal of 4809087552 is 2557809084.

It is a super-3 number, since 3×48090875523 (a number of 30 digits) contains 333 as substring.

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

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, 6614613 + ... + 6615339.

It is an arithmetic number, because the mean of its divisors is an integer number (115068096).

Almost surely, 24809087552 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 4809087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443813376).

4809087552 is an abundant number, since it is smaller than the sum of its proper divisors (8078539200).

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

4809087552 is a wasteful number, since it uses less digits than its factorization.

4809087552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 4809087552 is about 69347.5850480750. The cubic root of 4809087552 is about 1687.9292064678.

The spelling of 4809087552 in words is "four billion, eight hundred nine million, eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 263 393 524 526 727 786 789 1048 1052 1454 1572 1578 2096 2104 2181 2908 3144 3156 4192 4208 4362 5816 6288 6312 8384 8416 8724 11632 12576 12624 16832 17448 23264 25152 25248 34453 34896 46528 50496 68906 69792 95237 103359 137812 139584 190474 191201 206718 275624 285711 380948 382402 413436 551248 571422 573603 761896 764804 826872 1102496 1142844 1147206 1523792 1529608 1653744 2204992 2285688 2294412 3047584 3059216 3307488 4571376 4588824 6095168 6118432 6614976 9142752 9177648 12236864 18285504 18355296 25047331 36710592 50094662 75141993 100189324 150283986 200378648 300567972 400757296 601135944 801514592 1202271888 1603029184 2404543776 4809087552