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245212480 = 26519311301
BaseRepresentation
bin11101001110110…
…10010101000000
3122002102002021201
432213122111000
51000233244410
640155430544
76035162122
oct1647322500
9562362251
10245212480
11116463847
126a155454
133ba57556
14247d1212
15167da83a
hexe9da540

245212480 has 112 divisors (see below), whose sum is σ = 634959360. Its totient is φ = 89856000.

The previous prime is 245212477. The next prime is 245212501. The reversal of 245212480 is 84212542.

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, 187830 + ... + 189130.

It is an arithmetic number, because the mean of its divisors is an integer number (5669280).

Almost surely, 2245212480 is an apocalyptic number.

245212480 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 245212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317479680).

245212480 is an abundant number, since it is smaller than the sum of its proper divisors (389746880).

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

245212480 is a wasteful number, since it uses less digits than its factorization.

245212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 245212480 is about 15659.2617961384. The cubic root of 245212480 is about 625.9133143210.

The spelling of 245212480 in words is "two hundred forty-five million, two hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 152 155 160 190 248 304 310 320 380 496 589 608 620 760 992 1178 1216 1240 1301 1520 1984 2356 2480 2602 2945 3040 4712 4960 5204 5890 6080 6505 9424 9920 10408 11780 13010 18848 20816 23560 24719 26020 37696 40331 41632 47120 49438 52040 80662 83264 94240 98876 104080 123595 161324 188480 197752 201655 208160 247190 322648 395504 403310 416320 494380 645296 766289 791008 806620 988760 1290592 1532578 1582016 1613240 1977520 2581184 3065156 3226480 3831445 3955040 6130312 6452960 7662890 7910080 12260624 12905920 15325780 24521248 30651560 49042496 61303120 122606240 245212480