Search a number
-
+
4875995784 = 2331123977279
BaseRepresentation
bin1001000101010000…
…11100101010001000
3110120211001020202110
410202220130222020
534441223331114
62123501302320
7231555165102
oct44250345210
913524036673
104875995784
112082410890
12b40b649a0
135c926220a
14343822572
151d810e759
hex122a1ca88

4875995784 has 64 divisors (see below), whose sum is σ = 13353984000. Its totient is φ = 1471373120.

The previous prime is 4875995749. The next prime is 4875995801.

4875995784 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24457 + ... + 101735.

It is an arithmetic number, because the mean of its divisors is an integer number (208656000).

Almost surely, 24875995784 is an apocalyptic number.

4875995784 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 4875995784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676992000).

4875995784 is an abundant number, since it is smaller than the sum of its proper divisors (8477988216).

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

4875995784 is a wasteful number, since it uses less digits than its factorization.

4875995784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77538 (or 77534 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 66.

The square root of 4875995784 is about 69828.3308120708. The cubic root of 4875995784 is about 1695.7211637018.

The spelling of 4875995784 in words is "four billion, eight hundred seventy-five million, nine hundred ninety-five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 239 264 478 717 956 1434 1912 2629 2868 5258 5736 7887 10516 15774 21032 31548 63096 77279 154558 231837 309116 463674 618232 850069 927348 1700138 1854696 2550207 3400276 5100414 6800552 10200828 18469681 20401656 36939362 55409043 73878724 110818086 147757448 203166491 221636172 406332982 443272344 609499473 812665964 1218998946 1625331928 2437997892 4875995784