Search a number
-
+
4574936352 = 2537231137229
BaseRepresentation
bin1000100001010111…
…11111110100100000
3102210211112211212010
410100223333310200
533332140430402
62033544432520
7221241213600
oct42053776440
912724484763
104574936352
111a38483438
12a78178740
1357ba8313c
14315854c00
151bb991a6c
hex110affd20

4574936352 has 288 divisors, whose sum is σ = 14589227520. Its totient is φ = 1250242560.

The previous prime is 4574936347. The next prime is 4574936369. The reversal of 4574936352 is 2536394754.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19977774 + ... + 19978002.

It is an arithmetic number, because the mean of its divisors is an integer number (50657040).

Almost surely, 24574936352 is an apocalyptic number.

4574936352 is a gapful number since it is divisible by the number (42) 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 4574936352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7294613760).

4574936352 is an abundant number, since it is smaller than the sum of its proper divisors (10014291168).

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

4574936352 is a wasteful number, since it uses less digits than its factorization.

4574936352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 409 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 48.

The square root of 4574936352 is about 67638.2757911525. The cubic root of 4574936352 is about 1660.0774570718.

The spelling of 4574936352 in words is "four billion, five hundred seventy-four million, nine hundred thirty-six thousand, three hundred fifty-two".