Search a number
-
+
252454384 = 24713414229
BaseRepresentation
bin11110000110000…
…10010111110000
3122121001000022101
433003002113300
51004112020014
641014550144
76153553420
oct1703022760
9577030271
10252454384
1111a55a796
1270668354
13403c18c0
1425758480
151726b474
hexf0c25f0

252454384 has 80 divisors (see below), whose sum is σ = 616835520. Its totient is φ = 97413120.

The previous prime is 252454379. The next prime is 252454399. The reversal of 252454384 is 483454252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57582 + ... + 61810.

It is an arithmetic number, because the mean of its divisors is an integer number (7710444).

Almost surely, 2252454384 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 252454384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308417760).

252454384 is an abundant number, since it is smaller than the sum of its proper divisors (364381136).

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

252454384 is a wasteful number, since it uses less digits than its factorization.

252454384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4292 counting only the distinct ones).

The product of its digits is 153600, while the sum is 37.

The square root of 252454384 is about 15888.8131715368. The cubic root of 252454384 is about 632.0153684240.

The spelling of 252454384 in words is "two hundred fifty-two million, four hundred fifty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 82 91 104 112 164 182 208 287 328 364 533 574 656 728 1066 1148 1456 2132 2296 3731 4229 4264 4592 7462 8458 8528 14924 16916 29603 29848 33832 54977 59206 59696 67664 109954 118412 173389 219908 236824 346778 384839 439816 473648 693556 769678 879632 1213723 1387112 1539356 2254057 2427446 2774224 3078712 4508114 4854892 6157424 9016228 9709784 15778399 18032456 19419568 31556798 36064912 63113596 126227192 252454384