Search a number
-
+
3742806788 = 227253571631
BaseRepresentation
bin1101111100010110…
…1011001100000100
3100122211202021200122
43133011223030010
530131124304123
61415221201112
7161515222100
oct33705531404
910584667618
103742806788
111650798156
12885560198
13478560b96
14277124900
1516d8bebc8
hexdf16b304

3742806788 has 72 divisors (see below), whose sum is σ = 7788965184. Its totient is φ = 1568548800.

The previous prime is 3742806773. The next prime is 3742806797. The reversal of 3742806788 is 8876082473.

3742806788 is digitally balanced in base 2, because in such base 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 (53).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5931233 + ... + 5931863.

It is an arithmetic number, because the mean of its divisors is an integer number (108180072).

Almost surely, 23742806788 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 3742806788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894482592).

3742806788 is an abundant number, since it is smaller than the sum of its proper divisors (4046158396).

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

3742806788 is a wasteful number, since it uses less digits than its factorization.

3742806788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The square root of 3742806788 is about 61178.4830475552. The cubic root of 3742806788 is about 1552.6222401529.

The spelling of 3742806788 in words is "three billion, seven hundred forty-two million, eight hundred six thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 571 631 742 1142 1262 1484 2284 2524 2597 3997 4417 5194 7994 8834 10388 15988 17668 27979 30263 30919 33443 55958 60526 61838 66886 111916 121052 123676 133772 211841 234101 360301 423682 468202 720602 847364 936404 1441204 1482887 1638707 2522107 2965774 3277414 5044214 5931548 6554828 10088428 17654749 19095953 35309498 38191906 70618996 76383812 133671671 267343342 534686684 935701697 1871403394 3742806788