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745474752 = 26341117769
BaseRepresentation
bin101100011011110…
…000101011000000
31220221202001010000
4230123300223000
53011320143002
6201550040000
724321300531
oct5433605300
91827661100
10745474752
1135288a240
121897a9000
13bb5a1b29
1471014688
15456a661c
hex2c6f0ac0

745474752 has 280 divisors, whose sum is σ = 2555839440. Its totient is φ = 212336640.

The previous prime is 745474739. The next prime is 745474753. The reversal of 745474752 is 257474547.

It is a junction number, because it is equal to n+sod(n) for n = 745474698 and 745474707.

It is not an unprimeable number, because it can be changed into a prime (745474753) 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 39 ways as a sum of consecutive naturals, for example, 969024 + ... + 969792.

It is an arithmetic number, because the mean of its divisors is an integer number (9127998).

Almost surely, 2745474752 is an apocalyptic number.

745474752 is a gapful number since it is divisible by the number (72) 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 745474752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277919720).

745474752 is an abundant number, since it is smaller than the sum of its proper divisors (1810364688).

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

745474752 is a wasteful number, since it uses less digits than its factorization.

745474752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 802 counting only the distinct ones).

The product of its digits is 1097600, while the sum is 45.

The square root of 745474752 is about 27303.3835265888. The cubic root of 745474752 is about 906.7292930597.

The spelling of 745474752 in words is "seven hundred forty-five million, four hundred seventy-four thousand, seven hundred fifty-two".