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253445292 = 223271229433
BaseRepresentation
bin11110001101101…
…00010010101100
3122122220100120200
433012310102230
51004340222132
641052113500
76165151362
oct1706642254
9578810520
10253445292
11120077221
1270a65890
134067a939
1425935632
15173b4d7c
hexf1b44ac

253445292 has 72 divisors (see below), whose sum is σ = 654020640. Its totient is φ = 82736640.

The previous prime is 253445287. The next prime is 253445317. The reversal of 253445292 is 292544352.

253445292 is a `hidden beast` number, since 25 + 344 + 5 + 292 = 666.

253445292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585108 + ... + 585540.

It is an arithmetic number, because the mean of its divisors is an integer number (9083620).

Almost surely, 2253445292 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 253445292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327010320).

253445292 is an abundant number, since it is smaller than the sum of its proper divisors (400575348).

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

253445292 is a wasteful number, since it uses less digits than its factorization.

253445292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 738 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 253445292 is about 15919.9652009670. The cubic root of 253445292 is about 632.8411961345.

The spelling of 253445292 in words is "two hundred fifty-three million, four hundred forty-five thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 229 284 426 433 458 639 687 852 866 916 1278 1299 1374 1732 2061 2556 2598 2748 3897 4122 5196 7794 8244 15588 16259 30743 32518 48777 61486 65036 92229 97554 99157 122972 146331 184458 195108 198314 276687 292662 297471 368916 396628 553374 585324 594942 892413 1106748 1189884 1784826 3569652 7040147 14080294 21120441 28160588 42240882 63361323 84481764 126722646 253445292