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253690752 = 273794379
BaseRepresentation
bin11110001111100…
…00001110000000
3122200100211021210
433013300032000
51004421101002
641101250120
76200223120
oct1707601600
9580324253
10253690752
11120224687
1270b63940
1340735593
142599ac80
151741296c
hexf1f0380

253690752 has 64 divisors (see below), whose sum is σ = 770140800. Its totient is φ = 72482304.

The previous prime is 253690747. The next prime is 253690757. The reversal of 253690752 is 257096352.

253690752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253690747) and next prime (253690757).

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 253690752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253690757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44502 + ... + 49877.

It is an arithmetic number, because the mean of its divisors is an integer number (12033450).

Almost surely, 2253690752 is an apocalyptic number.

It is an amenable number.

253690752 is an abundant number, since it is smaller than the sum of its proper divisors (516450048).

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

253690752 is an equidigital number, since it uses as much as digits as its factorization.

253690752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94403 (or 94391 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 253690752 is about 15927.6725230022. The cubic root of 253690752 is about 633.0454309788.

The spelling of 253690752 in words is "two hundred fifty-three million, six hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 94379 188758 283137 377516 566274 660653 755032 1132548 1321306 1510064 1981959 2265096 2642612 3020128 3963918 4530192 5285224 6040256 7927836 9060384 10570448 12080512 15855672 18120768 21140896 31711344 36241536 42281792 63422688 84563584 126845376 253690752