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3972988110 = 23572132967107
BaseRepresentation
bin1110110011001110…
…1111110011001110
3101020212212201002210
43230303233303032
531114041104420
61454122531250
7200311561500
oct35463576316
911225781083
103972988110
111759714853
1292a666b26
134b4154850
14299921d70
15183bdb9e0
hexeccefcce

3972988110 has 384 divisors, whose sum is σ = 12658705920. Its totient is φ = 789820416.

The previous prime is 3972988091. The next prime is 3972988147. The reversal of 3972988110 is 118892793.

It is a self number, because there is not a number n which added to its sum of digits gives 3972988110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37130677 + ... + 37130783.

It is an arithmetic number, because the mean of its divisors is an integer number (32965380).

Almost surely, 23972988110 is an apocalyptic number.

3972988110 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 3972988110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329352960).

3972988110 is an abundant number, since it is smaller than the sum of its proper divisors (8685717810).

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

3972988110 is a wasteful number, since it uses less digits than its factorization.

3972988110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 3972988110 is about 63031.6437196429. The cubic root of 3972988110 is about 1583.8197531420.

The spelling of 3972988110 in words is "three billion, nine hundred seventy-two million, nine hundred eighty-eight thousand, one hundred ten".