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5574819072 = 28316344533
BaseRepresentation
bin1010011000100100…
…01111110100000000
3112101112000011002110
411030102033310000
542404123202242
62321103415320
7255102115554
oct51422176400
915345004073
105574819072
112400927099
1210b6bb4540
136aac7bb14
143ac571864
1522964d39c
hex14c48fd00

5574819072 has 72 divisors (see below), whose sum is σ = 14928509344. Its totient is φ = 1846831104.

The previous prime is 5574819049. The next prime is 5574819073. The reversal of 5574819072 is 2709184755.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5574819073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102918 + ... + 147450.

Almost surely, 25574819072 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 5574819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464254672).

5574819072 is an abundant number, since it is smaller than the sum of its proper divisors (9353690272).

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

5574819072 is a wasteful number, since it uses less digits than its factorization.

5574819072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44715 (or 44701 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The square root of 5574819072 is about 74664.7110220082. The cubic root of 5574819072 is about 1773.1423079262.

The spelling of 5574819072 in words is "five billion, five hundred seventy-four million, eight hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 256 326 384 489 652 768 978 1304 1956 2608 3912 5216 7824 10432 15648 20864 31296 41728 44533 62592 89066 125184 133599 178132 267198 356264 534396 712528 1068792 1425056 2137584 2850112 4275168 5700224 7258879 8550336 11400448 14517758 17100672 21776637 29035516 34201344 43553274 58071032 87106548 116142064 174213096 232284128 348426192 464568256 696852384 929136512 1393704768 1858273024 2787409536 5574819072