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3912285312 = 27331331532
BaseRepresentation
bin1110100100110000…
…1011110010000000
3101002122122200112000
43221030023302000
531003021112222
61444113504000
7165643606425
oct35114136200
911078580460
103912285312
111728423951
12912272000
134a46bca30
1429183dd4c
1517d6ea9ac
hexe930bc80

3912285312 has 384 divisors, whose sum is σ = 13082764800. Its totient is φ = 1142968320.

The previous prime is 3912285253. The next prime is 3912285319. The reversal of 3912285312 is 2135822193.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3912285319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73816678 + ... + 73816730.

It is an arithmetic number, because the mean of its divisors is an integer number (34069700).

Almost surely, 23912285312 is an apocalyptic number.

3912285312 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 3912285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541382400).

3912285312 is an abundant number, since it is smaller than the sum of its proper divisors (9170479488).

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

3912285312 is a wasteful number, since it uses less digits than its factorization.

3912285312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 102 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3912285312 is about 62548.2638607979. The cubic root of 3912285312 is about 1575.7119901094.

The spelling of 3912285312 in words is "three billion, nine hundred twelve million, two hundred eighty-five thousand, three hundred twelve".