Search a number
-
+
4280056044 = 2231123195087
BaseRepresentation
bin1111111100011100…
…0111100011101100
3102001021200101010020
43333013013203230
532231143243134
61544412242140
7211030606335
oct37707074354
912037611106
104280056044
1118a6a86500
129b5470350
13532958754
142c861528c
151a0b44b49
hexff1c78ec

4280056044 has 72 divisors (see below), whose sum is σ = 11331446784. Its totient is φ = 1255135200.

The previous prime is 4280056043. The next prime is 4280056049. The reversal of 4280056044 is 4406500824.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4280055996 and 4280056014.

It is not an unprimeable number, because it can be changed into a prime (4280056043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2532 + ... + 92555.

Almost surely, 24280056044 is an apocalyptic number.

4280056044 is a gapful number since it is divisible by the number (44) 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 4280056044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665723392).

4280056044 is an abundant number, since it is smaller than the sum of its proper divisors (7051390740).

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

4280056044 is a wasteful number, since it uses less digits than its factorization.

4280056044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95147 (or 95134 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 4280056044 is about 65422.1372625505. The cubic root of 4280056044 is about 1623.6153625503.

Adding to 4280056044 its reverse (4406500824), we get a palindrome (8686556868).

The spelling of 4280056044 in words is "four billion, two hundred eighty million, fifty-six thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 682 726 1023 1364 1452 2046 3751 4092 7502 11253 15004 22506 45012 95087 190174 285261 380348 570522 1045957 1141044 2091914 2947697 3137871 4183828 5895394 6275742 8843091 11505527 11790788 12551484 17686182 23011054 32424667 34516581 35372364 46022108 64849334 69033162 97274001 129698668 138066324 194548002 356671337 389096004 713342674 1070014011 1426685348 2140028022 4280056044