Search a number
-
+
3971930490 = 232511172331331
BaseRepresentation
bin1110110010111110…
…1101100101111010
3101020210212222022200
43230233231211322
531113303233430
61454044131030
7200266565163
oct35457554572
911223788280
103971930490
111759062190
1292a236a76
134b3b74338
1429972876a
15183a7d460
hexecbed97a

3971930490 has 384 divisors, whose sum is σ = 12887506944. Its totient is φ = 836352000.

The previous prime is 3971930483. The next prime is 3971930497. The reversal of 3971930490 is 940391793.

3971930490 is a `hidden beast` number, since 3 + 9 + 71 + 93 + 0 + 490 = 666.

It is an interprime number because it is at equal distance from previous prime (3971930483) and next prime (3971930497).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3971930497) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11999625 + ... + 11999955.

It is an arithmetic number, because the mean of its divisors is an integer number (33561216).

Almost surely, 23971930490 is an apocalyptic number.

3971930490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3971930490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443753472).

3971930490 is an abundant number, since it is smaller than the sum of its proper divisors (8915576454).

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

3971930490 is a wasteful number, since it uses less digits than its factorization.

3971930490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 3971930490 is about 63023.2535656483. The cubic root of 3971930490 is about 1583.6792016595.

The spelling of 3971930490 in words is "three billion, nine hundred seventy-one million, nine hundred thirty thousand, four hundred ninety".