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2427064440 = 2335167281431
BaseRepresentation
bin1001000010101010…
…0001000001111000
320021010221122111120
42100222201001320
514432312030230
61040500225240
7114100464423
oct22052410170
96233848446
102427064440
111036018489
1257899b220
132c8aa3708
141904a69ba
15e3120310
hex90aa1078

2427064440 has 128 divisors (see below), whose sum is σ = 7367915520. Its totient is φ = 639564800.

The previous prime is 2427064439. The next prime is 2427064447. The reversal of 2427064440 is 444607242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427064447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5631025 + ... + 5631455.

It is an arithmetic number, because the mean of its divisors is an integer number (57561840).

Almost surely, 22427064440 is an apocalyptic number.

2427064440 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 2427064440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683957760).

2427064440 is an abundant number, since it is smaller than the sum of its proper divisors (4940851080).

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

2427064440 is a wasteful number, since it uses less digits than its factorization.

2427064440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 2427064440 is about 49265.2457620989. The cubic root of 2427064440 is about 1343.8798299940.

The spelling of 2427064440 in words is "two billion, four hundred twenty-seven million, sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 281 334 431 501 562 668 835 843 862 1002 1124 1293 1336 1405 1670 1686 1724 2004 2155 2248 2505 2586 2810 3340 3372 3448 4008 4215 4310 5010 5172 5620 6465 6680 6744 8430 8620 10020 10344 11240 12930 16860 17240 20040 25860 33720 46927 51720 71977 93854 121111 140781 143954 187708 215931 234635 242222 281562 287908 359885 363333 375416 431862 469270 484444 563124 575816 605555 703905 719770 726666 863724 938540 968888 1079655 1126248 1211110 1407810 1439540 1453332 1727448 1816665 1877080 2159310 2422220 2815620 2879080 2906664 3633330 4318620 4844440 5631240 7266660 8637240 14533320 20225537 40451074 60676611 80902148 101127685 121353222 161804296 202255370 242706444 303383055 404510740 485412888 606766110 809021480 1213532220 2427064440