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2449980 = 2233513349
BaseRepresentation
bin1001010110001000111100
311121110202000
421112020330
51111344410
6124302300
726552541
oct11261074
94543660
102449980
111423785
129a1990
1367a1c0
1447abc8
15335dc0
hex25623c

2449980 has 96 divisors (see below), whose sum is σ = 8232000. Its totient is φ = 601344.

The previous prime is 2449963. The next prime is 2449987. The reversal of 2449980 is 899442.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2449987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6846 + ... + 7194.

It is an arithmetic number, because the mean of its divisors is an integer number (85750).

22449980 is an apocalyptic number.

2449980 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 2449980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116000).

2449980 is an abundant number, since it is smaller than the sum of its proper divisors (5782020).

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

2449980 is a wasteful number, since it uses less digits than its factorization.

2449980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2449980 is about 1565.2411954712. The cubic root of 2449980 is about 134.8096081579.

The spelling of 2449980 in words is "two million, four hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 349 351 390 468 540 585 698 702 780 1047 1170 1396 1404 1745 1755 2094 2340 3141 3490 3510 4188 4537 5235 6282 6980 7020 9074 9423 10470 12564 13611 15705 18148 18846 20940 22685 27222 31410 37692 40833 45370 47115 54444 62820 68055 81666 90740 94230 122499 136110 163332 188460 204165 244998 272220 408330 489996 612495 816660 1224990 2449980