Search a number
-
+
3779093472 = 2537111722961
BaseRepresentation
bin1110000101000000…
…0110001111100000
3100202101000211122220
43201100012033200
530214421442342
61422555031040
7162435523140
oct34120061740
910671024586
103779093472
11166a221950
1289573b480
13482c274ab
1427bc8c920
15171b8b5ec
hexe14063e0

3779093472 has 576 divisors, whose sum is σ = 13814115840. Its totient is φ = 877363200.

The previous prime is 3779093441. The next prime is 3779093473. The reversal of 3779093472 is 2743909773.

It is a super-2 number, since 2×37790934722 = 28563094940226029568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3779093473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61952322 + ... + 61952382.

It is an arithmetic number, because the mean of its divisors is an integer number (23982840).

Almost surely, 23779093472 is an apocalyptic number.

3779093472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3779093472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907057920).

3779093472 is an abundant number, since it is smaller than the sum of its proper divisors (10035022368).

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

3779093472 is a wasteful number, since it uses less digits than its factorization.

3779093472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 51.

The square root of 3779093472 is about 61474.3318141808. The cubic root of 3779093472 is about 1557.6236930517.

The spelling of 3779093472 in words is "three billion, seven hundred seventy-nine million, ninety-three thousand, four hundred seventy-two".