Search a number
-
+
1557044016 = 243118593433
BaseRepresentation
bin101110011001110…
…1001101100110000
311000111212000211220
41130303221230300
511142100402031
6414300505040
753404440633
oct13463515460
94014760756
101557044016
11729a02240
1237554b180
131ba775928
1410ab11c1a
1591a66596
hex5cce9b30

1557044016 has 80 divisors (see below), whose sum is σ = 4394421120. Its totient is φ = 471144960.

The previous prime is 1557044011. The next prime is 1557044029. The reversal of 1557044016 is 6104407551.

It is a super-2 number, since 2×15570440162 = 4848772135522816512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1557044011) 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, 451836 + ... + 455268.

It is an arithmetic number, because the mean of its divisors is an integer number (54930264).

Almost surely, 21557044016 is an apocalyptic number.

1557044016 is a gapful number since it is divisible by the number (16) 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 1557044016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197210560).

1557044016 is an abundant number, since it is smaller than the sum of its proper divisors (2837377104).

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

1557044016 is a wasteful number, since it uses less digits than its factorization.

1557044016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1557044016 is about 39459.3970557078. The cubic root of 1557044016 is about 1159.0449967803.

The spelling of 1557044016 in words is "one billion, five hundred fifty-seven million, forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 859 1718 2577 3433 3436 5154 6866 6872 9449 10299 10308 13732 13744 18898 20598 20616 27464 28347 37763 37796 41196 41232 54928 56694 75526 75592 82392 113289 113388 151052 151184 164784 226578 226776 302104 453156 453552 604208 906312 1812624 2948947 5897894 8846841 11795788 17693682 23591576 32438417 35387364 47183152 64876834 70774728 97315251 129753668 141549456 194630502 259507336 389261004 519014672 778522008 1557044016