Search a number
-
+
3841678752 = 253131305477
BaseRepresentation
bin1110010011111011…
…0101110110100000
3100220201210111112020
43210332311312200
530331432210002
61433112301440
7164125505412
oct34476656640
910821714466
103841678752
1116a158911a
128b26a1880
13492b9b0c2
142863009b2
151774002bc
hexe4fb5da0

3841678752 has 48 divisors (see below), whose sum is σ = 10161420192. Its totient is φ = 1270780160.

The previous prime is 3841678739. The next prime is 3841678759. The reversal of 3841678752 is 2578761483.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3841678695 and 3841678704.

It is not an unprimeable number, because it can be changed into a prime (3841678759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140163 + ... + 165314.

It is an arithmetic number, because the mean of its divisors is an integer number (211696254).

Almost surely, 23841678752 is an apocalyptic number.

3841678752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3841678752 is an abundant number, since it is smaller than the sum of its proper divisors (6319741440).

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

3841678752 is a wasteful number, since it uses less digits than its factorization.

3841678752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305621 (or 305613 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 3841678752 is about 61981.2774311727. The cubic root of 3841678752 is about 1566.1752208563.

The spelling of 3841678752 in words is "three billion, eight hundred forty-one million, six hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 305477 610954 916431 1221908 1832862 2443816 3665724 4887632 7331448 9775264 14662896 29325792 40017487 80034974 120052461 160069948 240104922 320139896 480209844 640279792 960419688 1280559584 1920839376 3841678752