Search a number
-
+
3817764132 = 22371310313391
BaseRepresentation
bin1110001110001110…
…0111010100100100
3100212001210111211120
43203203213110210
530304321423012
61430455533540
7163415313450
oct34343472444
910761714746
103817764132
11168a034776
128a668a2b0
1348ac46c40
14283077660
1517527958c
hexe38e7524

3817764132 has 96 divisors (see below), whose sum is σ = 10977705984. Its totient is φ = 1005609600.

The previous prime is 3817764053. The next prime is 3817764143. The reversal of 3817764132 is 2314677183.

3817764132 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1124157 + ... + 1127547.

It is an arithmetic number, because the mean of its divisors is an integer number (114351104).

Almost surely, 23817764132 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 3817764132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488852992).

3817764132 is an abundant number, since it is smaller than the sum of its proper divisors (7159941852).

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

3817764132 is a wasteful number, since it uses less digits than its factorization.

3817764132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4447 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 3817764132 is about 61788.0581666069. The cubic root of 3817764132 is about 1562.9186173252.

The spelling of 3817764132 in words is "three billion, eight hundred seventeen million, seven hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1031 1092 2062 3093 3391 4124 6186 6782 7217 10173 12372 13403 13564 14434 20346 21651 23737 26806 28868 40209 40692 43302 44083 47474 53612 71211 80418 86604 88166 93821 94948 132249 142422 160836 176332 187642 264498 281463 284844 308581 375284 528996 562926 617162 925743 1125852 1234324 1851486 3496121 3702972 6992242 10488363 13984484 20976726 24472847 41953452 45449573 48945694 73418541 90899146 97891388 136348719 146837082 181798292 272697438 293674164 318147011 545394876 636294022 954441033 1272588044 1908882066 3817764132