Search a number
-
+
3819244956 = 22317411792551
BaseRepresentation
bin1110001110100101…
…0000110110011100
3100212011120202010220
43203221100312130
530310211314311
61430551401340
7163434021642
oct34351206634
910764522126
103819244956
11168a95629a
128a7083250
1348b344c77
14283341192
1517546d206
hexe3a50d9c

3819244956 has 96 divisors (see below), whose sum is σ = 9723732480. Its totient is φ = 1161984000.

The previous prime is 3819244951. The next prime is 3819244999. The reversal of 3819244956 is 6594429183.

3819244956 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 3819244899 and 3819244908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3819244951) 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, 1495881 + ... + 1498431.

It is an arithmetic number, because the mean of its divisors is an integer number (101288880).

Almost surely, 23819244956 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 3819244956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861866240).

3819244956 is an abundant number, since it is smaller than the sum of its proper divisors (5904487524).

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

3819244956 is a wasteful number, since it uses less digits than its factorization.

3819244956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2793 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 3819244956 is about 61800.0400970744. The cubic root of 3819244956 is about 1563.1206647494.

The spelling of 3819244956 in words is "three billion, eight hundred nineteen million, two hundred forty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 179 204 246 358 492 537 697 716 1074 1394 2091 2148 2551 2788 3043 4182 5102 6086 7339 7653 8364 9129 10204 12172 14678 15306 18258 22017 29356 30612 36516 43367 44034 86734 88068 104591 124763 130101 173468 209182 249526 260202 313773 374289 418364 456629 499052 520404 627546 748578 913258 1255092 1369887 1497156 1778047 1826516 2739774 3556094 5334141 5479548 7112188 7762693 10668282 15525386 18721789 21336564 23288079 31050772 37443578 46576158 56165367 74887156 93152316 112330734 224661468 318270413 636540826 954811239 1273081652 1909622478 3819244956