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253345536 = 283336653
BaseRepresentation
bin11110001100110…
…11111100000000
3122122201021202000
433012123330000
51004324024121
641050024000
76164254503
oct1706337400
9578637660
10253345536
11120009284
1270a18000
1340644402
142590b13a
1517395526
hexf19bf00

253345536 has 72 divisors (see below), whose sum is σ = 749207760. Its totient is φ = 84446208.

The previous prime is 253345523. The next prime is 253345541. The reversal of 253345536 is 635543352.

253345536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2533455362 = 128367921222254592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 253345536.

It is a congruent number.

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, 11415 + ... + 25238.

Almost surely, 2253345536 is an apocalyptic number.

It is an amenable number.

253345536 is an abundant number, since it is smaller than the sum of its proper divisors (495862224).

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

253345536 is an equidigital number, since it uses as much as digits as its factorization.

253345536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36678 (or 36658 counting only the distinct ones).

The product of its digits is 162000, while the sum is 36.

The square root of 253345536 is about 15916.8318455652. The cubic root of 253345536 is about 632.7581565295.

Adding to 253345536 its reverse (635543352), we get a palindrome (888888888).

The spelling of 253345536 in words is "two hundred fifty-three million, three hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 36653 73306 109959 146612 219918 293224 329877 439836 586448 659754 879672 989631 1172896 1319508 1759344 1979262 2345792 2639016 3518688 3958524 4691584 5278032 7037376 7917048 9383168 10556064 14074752 15834096 21112128 28149504 31668192 42224256 63336384 84448512 126672768 253345536