Search a number
-
+
5517253840 = 245710792077
BaseRepresentation
bin1010010001101101…
…01001110011010000
3112020111200112102211
411020312221303100
542244404110330
62311245521504
7253502612110
oct51066516320
915214615384
105517253840
11238138951a
12109b873294
1369c075157
143a4a69040
1522457bd2a
hex148da9cd0

5517253840 has 80 divisors (see below), whose sum is σ = 14797302912. Its totient is φ = 1873930752.

The previous prime is 5517253789. The next prime is 5517253867. The reversal of 5517253840 is 483527155.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5517253793 and 5517253802.

It is a congruent number.

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, 13882 + ... + 105958.

Almost surely, 25517253840 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 5517253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398651456).

5517253840 is an abundant number, since it is smaller than the sum of its proper divisors (9280049072).

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

5517253840 is a wasteful number, since it uses less digits than its factorization.

5517253840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92204 (or 92198 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 5517253840 is about 74278.2191493576. The cubic root of 5517253840 is about 1767.0180610305.

The spelling of 5517253840 in words is "five billion, five hundred seventeen million, two hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 280 428 535 560 749 856 1070 1498 1712 2140 2996 3745 4280 5992 7490 8560 11984 14980 29960 59920 92077 184154 368308 460385 644539 736616 920770 1289078 1473232 1841540 2578156 3222695 3683080 5156312 6445390 7366160 9852239 10312624 12890780 19704478 25781560 39408956 49261195 51563120 68965673 78817912 98522390 137931346 157635824 197044780 275862692 344828365 394089560 551725384 689656730 788179120 1103450768 1379313460 2758626920 5517253840