Search a number
-
+
245205504 = 2932127419
BaseRepresentation
bin11101001110110…
…00101000000000
3122002101201201100
432213120220000
51000233034004
640155334400
76035132565
oct1647305000
9562351640
10245205504
11116459585
126a151400
133ba5431b
14247cc86c
15167d8739
hexe9d8a00

245205504 has 120 divisors (see below), whose sum is σ = 714954240. Its totient is φ = 80898048.

The previous prime is 245205497. The next prime is 245205539. The reversal of 245205504 is 405502542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585007 + ... + 585425.

It is an arithmetic number, because the mean of its divisors is an integer number (5957952).

Almost surely, 2245205504 is an apocalyptic number.

245205504 is a gapful number since it is divisible by the number (24) 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 245205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

245205504 is an abundant number, since it is smaller than the sum of its proper divisors (469748736).

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

245205504 is a wasteful number, since it uses less digits than its factorization.

245205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 245205504 is about 15659.0390509763. The cubic root of 245205504 is about 625.9073787712.

The spelling of 245205504 in words is "two hundred forty-five million, two hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 419 508 512 576 762 768 838 1016 1143 1152 1257 1524 1536 1676 2032 2286 2304 2514 3048 3352 3771 4064 4572 4608 5028 6096 6704 7542 8128 9144 10056 12192 13408 15084 16256 18288 20112 24384 26816 30168 32512 36576 40224 48768 53213 53632 60336 65024 73152 80448 97536 106426 107264 120672 146304 159639 160896 195072 212852 214528 241344 292608 319278 321792 425704 478917 482688 585216 638556 643584 851408 957834 965376 1277112 1702816 1915668 1930752 2554224 3405632 3831336 5108448 6811264 7662672 10216896 13622528 15325344 20433792 27245056 30650688 40867584 61301376 81735168 122602752 245205504