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252026748 = 223379109271
BaseRepresentation
bin11110000010110…
…01111101111100
3122120020021201000
433001121331330
51004004323443
641001450300
76150122601
oct1701317574
9576207630
10252026748
1111a298476
12704a0990
13402a206c
14256866a8
15171d48d3
hexf059f7c

252026748 has 96 divisors (see below), whose sum is σ = 670208000. Its totient is φ = 81881280.

The previous prime is 252026711. The next prime is 252026759. The reversal of 252026748 is 847620252.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929853 + ... + 930123.

Almost surely, 2252026748 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 252026748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335104000).

252026748 is an abundant number, since it is smaller than the sum of its proper divisors (418181252).

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

252026748 is a wasteful number, since it uses less digits than its factorization.

252026748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 252026748 is about 15875.3503268432. The cubic root of 252026748 is about 631.6583068568.

The spelling of 252026748 in words is "two hundred fifty-two million, twenty-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 109 158 218 237 271 316 327 436 474 542 654 711 813 948 981 1084 1308 1422 1626 1962 2133 2439 2844 2943 3252 3924 4266 4878 5886 7317 8532 8611 9756 11772 14634 17222 21409 25833 29268 29539 34444 42818 51666 59078 64227 77499 85636 88617 103332 118156 128454 154998 177234 192681 232497 256908 265851 309996 354468 385362 464994 531702 578043 770724 797553 929988 1063404 1156086 1595106 2312172 2333581 3190212 4667162 7000743 9334324 14001486 21002229 28002972 42004458 63006687 84008916 126013374 252026748