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3749471040 = 2635717231427
BaseRepresentation
bin1101111101111100…
…0110001101000000
3100200022021212022210
43133133012031000
530134331033130
61420020102120
7161625656310
oct33737061500
910608255283
103749471040
11165452a0a7
12887834940
13479a55323
14277d7b440
1516e2895b0
hexdf7c6340

3749471040 has 448 divisors, whose sum is σ = 15042392064. Its totient is φ = 770998272.

The previous prime is 3749471009. The next prime is 3749471051. The reversal of 3749471040 is 401749473.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 3749471040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2626807 + ... + 2628233.

It is an arithmetic number, because the mean of its divisors is an integer number (33576768).

Almost surely, 23749471040 is an apocalyptic number.

3749471040 is a gapful number since it is divisible by the number (30) 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 3749471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521196032).

3749471040 is an abundant number, since it is smaller than the sum of its proper divisors (11292921024).

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

3749471040 is a wasteful number, since it uses less digits than its factorization.

3749471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 3749471040 is about 61232.9244769511. The cubic root of 3749471040 is about 1553.5432005773.

The spelling of 3749471040 in words is "three billion, seven hundred forty-nine million, four hundred seventy-one thousand, forty".