Search a number
-
+
5215504000 = 2753746567
BaseRepresentation
bin1001101101101111…
…00100011010000000
3111110110220001110211
410312313210122000
541140132112000
62221310203504
7243150024010
oct46667443200
914413801424
105215504000
11223701a393
1210167b3594
136516b3a55
1437695bc40
15207d247ba
hex136de4680

5215504000 has 128 divisors (see below), whose sum is σ = 14819800320. Its totient is φ = 1788134400.

The previous prime is 5215503961. The next prime is 5215504003. The reversal of 5215504000 is 4055125.

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

It is not an unprimeable number, because it can be changed into a prime (5215504003) 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, 88717 + ... + 135283.

It is an arithmetic number, because the mean of its divisors is an integer number (115779690).

Almost surely, 25215504000 is an apocalyptic number.

5215504000 is a gapful number since it is divisible by the number (50) 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 5215504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409900160).

5215504000 is an abundant number, since it is smaller than the sum of its proper divisors (9604296320).

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

5215504000 is an equidigital number, since it uses as much as digits as its factorization.

5215504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46603 (or 46581 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 5215504000 is about 72218.4463970252. The cubic root of 5215504000 is about 1734.1983190960.

Adding to 5215504000 its reverse (4055125), we get a palindrome (5219559125).

The spelling of 5215504000 in words is "five billion, two hundred fifteen million, five hundred four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 46567 56000 93134 112000 186268 232835 325969 372536 465670 651938 745072 931340 1164175 1303876 1490144 1629845 1862680 2328350 2607752 2980288 3259690 3725360 4656700 5215504 5820875 5960576 6519380 7450720 8149225 9313400 10431008 11641750 13038760 14901440 16298450 18626800 20862016 23283500 26077520 29802880 32596900 37253600 40746125 41724032 46567000 52155040 65193800 74507200 81492250 93134000 104310080 130387600 149014400 162984500 186268000 208620160 260775200 325969000 372536000 521550400 651938000 745072000 1043100800 1303876000 2607752000 5215504000