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3752222040 = 2332572347613
BaseRepresentation
bin1101111110100110…
…0101110101011000
3100200111110121222200
43133221211311120
530141032101130
61420155050200
7161661234600
oct33751456530
910614417880
103752222040
111656038a56
12888740960
1347a4a9538
14278495c00
1516e62e760
hexdfa65d58

3752222040 has 288 divisors, whose sum is σ = 14249785680. Its totient is φ = 853784064.

The previous prime is 3752222029. The next prime is 3752222041. The reversal of 3752222040 is 402222573.

It is a junction number, because it is equal to n+sod(n) for n = 3752221995 and 3752222013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3752222041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6120774 + ... + 6121386.

Almost surely, 23752222040 is an apocalyptic number.

3752222040 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 3752222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124892840).

3752222040 is an abundant number, since it is smaller than the sum of its proper divisors (10497563640).

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

3752222040 is a wasteful number, since it uses less digits than its factorization.

3752222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3752222040 is about 61255.3837633885. The cubic root of 3752222040 is about 1553.9230543835.

The spelling of 3752222040 in words is "three billion, seven hundred fifty-two million, two hundred twenty-two thousand, forty".