Search a number
-
+
5519041600 = 265231111271
BaseRepresentation
bin1010010001111010…
…11110010001000000
3112020122001100210011
411020331132101000
542300333312400
62311352114304
7253524036202
oct51075362100
915218040704
105519041600
11238239a706
1210a0395994
1369c54cab7
143a4db2772
152247d18ba
hex148f5e440

5519041600 has 84 divisors (see below), whose sum is σ = 14018491648. Its totient is φ = 2136384000.

The previous prime is 5519041597. The next prime is 5519041601. The reversal of 5519041600 is 61409155.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (5519041601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6036 + ... + 105235.

Almost surely, 25519041600 is an apocalyptic number.

5519041600 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 5519041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009245824).

5519041600 is an abundant number, since it is smaller than the sum of its proper divisors (8499450048).

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

5519041600 is a wasteful number, since it uses less digits than its factorization.

5519041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111324 (or 111309 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 5519041600 is about 74290.2523888565. The cubic root of 5519041600 is about 1767.2088964931.

The spelling of 5519041600 in words is "five billion, five hundred nineteen million, forty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 155 160 200 248 310 320 400 496 620 775 800 992 1240 1550 1600 1984 2480 3100 4960 6200 9920 12400 24800 49600 111271 222542 445084 556355 890168 1112710 1780336 2225420 2781775 3449401 3560672 4450840 5563550 6898802 7121344 8901680 11127100 13797604 17247005 17803360 22254200 27595208 34494010 35606720 44508400 55190416 68988020 86235025 89016800 110380832 137976040 172470050 178033600 220761664 275952080 344940100 551904160 689880200 1103808320 1379760400 2759520800 5519041600