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245155440 = 24353183397
BaseRepresentation
bin11101001110011…
…00011001110000
3122002022012001010
432213030121300
51000224433230
640154310520
76034533615
oct1647143160
9562265033
10245155440
11116424a02
126a128440
133ba375ba
14247b850c
15167c89b0
hexe9cc670

245155440 has 160 divisors (see below), whose sum is σ = 795949056. Its totient is φ = 62346240.

The previous prime is 245155439. The next prime is 245155501. The reversal of 245155440 is 44551542.

245155440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 245155398 and 245155407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617322 + ... + 617718.

Almost surely, 2245155440 is an apocalyptic number.

245155440 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 245155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397974528).

245155440 is an abundant number, since it is smaller than the sum of its proper divisors (550793616).

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

245155440 is a wasteful number, since it uses less digits than its factorization.

245155440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 245155440 is about 15657.4404038463. The cubic root of 245155440 is about 625.8647783682.

The spelling of 245155440 in words is "two hundred forty-five million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 83 93 120 124 155 166 186 240 248 249 310 332 372 397 415 465 496 498 620 664 744 794 830 930 996 1191 1240 1245 1328 1488 1588 1660 1860 1985 1992 2382 2480 2490 2573 3176 3320 3720 3970 3984 4764 4980 5146 5955 6352 6640 7440 7719 7940 9528 9960 10292 11910 12307 12865 15438 15880 19056 19920 20584 23820 24614 25730 30876 31760 32951 36921 38595 41168 47640 49228 51460 61535 61752 65902 73842 77190 95280 98456 98853 102920 123070 123504 131804 147684 154380 164755 184605 196912 197706 205840 246140 263608 295368 308760 329510 369210 395412 492280 494265 527216 590736 617520 659020 738420 790824 984560 988530 1021481 1318040 1476840 1581648 1977060 2042962 2636080 2953680 3064443 3954120 4085924 5107405 6128886 7908240 8171848 10214810 12257772 15322215 16343696 20429620 24515544 30644430 40859240 49031088 61288860 81718480 122577720 245155440