Search a number
-
+
3890051892 = 2237676637
BaseRepresentation
bin1110011111011101…
…0111101100110100
3101001002211010000000
43213313113230310
530431323130032
61442001151300
7165253616106
oct34767275464
911032733000
103890051892
111716918621
1290692b530
1349cc06b6c
1428c8d3576
1517b7a7e7c
hexe7dd7b34

3890051892 has 96 divisors (see below), whose sum is σ = 10363776640. Its totient is φ = 1277138016.

The previous prime is 3890051857. The next prime is 3890051899. The reversal of 3890051892 is 2981500983.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3890051899) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582798 + ... + 589434.

Almost surely, 23890051892 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 3890051892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181888320).

3890051892 is an abundant number, since it is smaller than the sum of its proper divisors (6473724748).

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

3890051892 is an equidigital number, since it uses as much as digits as its factorization.

3890051892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 3890051892 is about 62370.2805188497. The cubic root of 3890051892 is about 1572.7214071318.

It can be divided in two parts, 38900518 and 92, that added together give a triangular number (38900610 = T8820).

The spelling of 3890051892 in words is "three billion, eight hundred ninety million, fifty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 243 268 324 402 486 603 729 804 972 1206 1458 1809 2187 2412 2916 3618 4374 5427 6637 7236 8748 10854 13274 16281 19911 21708 26548 32562 39822 48843 59733 65124 79644 97686 119466 146529 179199 195372 238932 293058 358398 444679 537597 586116 716796 889358 1075194 1334037 1612791 1778716 2150388 2668074 3225582 4002111 4838373 5336148 6451164 8004222 9676746 12006333 14515119 16008444 19353492 24012666 29030238 36018999 48025332 58060476 72037998 108056997 144075996 216113994 324170991 432227988 648341982 972512973 1296683964 1945025946 3890051892