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2427398580 = 2235193168687
BaseRepresentation
bin1001000010101111…
…0010100110110100
320021011120121212010
42100223302212310
514432403223310
61040511324220
7114103355535
oct22053624664
96234517763
102427398580
111036226532
12578b20670
132c8b8c829
1419055268c
15e3189320
hex90af29b4

2427398580 has 96 divisors (see below), whose sum is σ = 7385333760. Its totient is φ = 593447040.

The previous prime is 2427398573. The next prime is 2427398581. The reversal of 2427398580 is 858937242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427398581) 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, 997 + ... + 69683.

It is an arithmetic number, because the mean of its divisors is an integer number (76930560).

Almost surely, 22427398580 is an apocalyptic number.

2427398580 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 2427398580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692666880).

2427398580 is an abundant number, since it is smaller than the sum of its proper divisors (4957935180).

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

2427398580 is a wasteful number, since it uses less digits than its factorization.

2427398580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68749 (or 68747 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 2427398580 is about 49268.6368798651. The cubic root of 2427398580 is about 1343.9414989240.

The spelling of 2427398580 in words is "two billion, four hundred twenty-seven million, three hundred ninety-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 372 380 465 570 589 620 930 1140 1178 1767 1860 2356 2945 3534 5890 7068 8835 11780 17670 35340 68687 137374 206061 274748 343435 412122 686870 824244 1030305 1305053 1373740 2060610 2129297 2610106 3915159 4121220 4258594 5220212 6387891 6525265 7830318 8517188 10646485 12775782 13050530 15660636 19575795 21292970 25551564 26101060 31939455 39151590 40456643 42585940 63878910 78303180 80913286 121369929 127757820 161826572 202283215 242739858 404566430 485479716 606849645 809132860 1213699290 2427398580