Search a number
-
+
3780202992 = 2433119313163
BaseRepresentation
bin1110000101010001…
…0101000111110000
3100202110010012122020
43201110111013300
530220212443432
61423034511440
7162451123656
oct34124250760
910673105566
103780202992
11166a90a505
12895b95580
13483225507
1427c09add6
15171d0a22c
hexe15151f0

3780202992 has 80 divisors (see below), whose sum is σ = 10133541888. Its totient is φ = 1213009920.

The previous prime is 3780202981. The next prime is 3780203033. The reversal of 3780202992 is 2992020873.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 280603 + ... + 293765.

Almost surely, 23780202992 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 3780202992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066770944).

3780202992 is an abundant number, since it is smaller than the sum of its proper divisors (6353338896).

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

3780202992 is a wasteful number, since it uses less digits than its factorization.

3780202992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13398 (or 13392 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 3780202992 is about 61483.3554061585. The cubic root of 3780202992 is about 1557.7761145737.

The spelling of 3780202992 in words is "three billion, seven hundred eighty million, two hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 193 248 372 386 496 579 744 772 1158 1488 1544 2316 3088 4632 5983 9264 11966 13163 17949 23932 26326 35898 39489 47864 52652 71796 78978 95728 105304 143592 157956 210608 287184 315912 408053 631824 816106 1224159 1632212 2448318 2540459 3264424 4896636 5080918 6528848 7621377 9793272 10161836 15242754 19586544 20323672 30485508 40647344 60971016 78754229 121942032 157508458 236262687 315016916 472525374 630033832 945050748 1260067664 1890101496 3780202992