Search a number
-
+
252699520 = 2751273109
BaseRepresentation
bin11110000111111…
…10001110000000
3122121111110120111
433003332032000
51004142341040
641024121104
76155624203
oct1703761600
9577443514
10252699520
1111a707987
1270766194
1340479358
14257bd93a
15172b8dea
hexf0fe380

252699520 has 64 divisors (see below), whose sum is σ = 609062400. Its totient is φ = 100251648.

The previous prime is 252699497. The next prime is 252699539. The reversal of 252699520 is 25996252.

252699520 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

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, 79726 + ... + 82834.

It is an arithmetic number, because the mean of its divisors is an integer number (9516600).

Almost surely, 2252699520 is an apocalyptic number.

252699520 is a gapful number since it is divisible by the number (20) 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 252699520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304531200).

252699520 is an abundant number, since it is smaller than the sum of its proper divisors (356362880).

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

252699520 is a wasteful number, since it uses less digits than its factorization.

252699520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 252699520 is about 15896.5254065157. The cubic root of 252699520 is about 632.2198668866.

The spelling of 252699520 in words is "two hundred fifty-two million, six hundred ninety-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 320 508 635 640 1016 1270 2032 2540 3109 4064 5080 6218 8128 10160 12436 15545 16256 20320 24872 31090 40640 49744 62180 81280 99488 124360 198976 248720 394843 397952 497440 789686 994880 1579372 1974215 1989760 3158744 3948430 6317488 7896860 12634976 15793720 25269952 31587440 50539904 63174880 126349760 252699520