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742062752 = 25531972221
BaseRepresentation
bin101100001110101…
…111101010100000
31220201022200201122
4230032233222200
53004432002002
6201344551412
724250300154
oct5416575240
91821280648
10742062752
11350969802
12188622568
13ba978ab2
14707a7064
15452306a2
hex2c3afaa0

742062752 has 48 divisors (see below), whose sum is σ = 1496730312. Its totient is φ = 362019840.

The previous prime is 742062719. The next prime is 742062793. The reversal of 742062752 is 257260247.

742062752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 728784016 + 13278736 = 26996^2 + 3644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333002 + ... + 335222.

Almost surely, 2742062752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742062752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748365156).

742062752 is an abundant number, since it is smaller than the sum of its proper divisors (754667560).

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

742062752 is a wasteful number, since it uses less digits than its factorization.

742062752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 742062752 is about 27240.8287685966. The cubic root of 742062752 is about 905.3438258915.

The spelling of 742062752 in words is "seven hundred forty-two million, sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 106 197 212 394 424 788 848 1576 1696 2221 3152 4442 6304 8884 10441 17768 20882 35536 41764 71072 83528 117713 167056 235426 334112 437537 470852 875074 941704 1750148 1883408 3500296 3766816 7000592 14001184 23189461 46378922 92757844 185515688 371031376 742062752