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4494883440 = 2435311514001
BaseRepresentation
bin1000010111110101…
…00111101001110000
3102121020220201220110
410023322213221300
533201142232230
62022004541320
7216246610305
oct41372475160
912536821813
104494883440
1119a7276503
12a553b1840
13568304958
14308d770ac
151b492c4b0
hex10bea7a70

4494883440 has 160 divisors (see below), whose sum is σ = 14482501632. Its totient is φ = 1152000000.

The previous prime is 4494883433. The next prime is 4494883451. The reversal of 4494883440 is 443884944.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4494883440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1121440 + ... + 1125440.

Almost surely, 24494883440 is an apocalyptic number.

4494883440 is a gapful number since it is divisible by the number (40) 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 4494883440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241250816).

4494883440 is an abundant number, since it is smaller than the sum of its proper divisors (9987618192).

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

4494883440 is a wasteful number, since it uses less digits than its factorization.

4494883440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The square root of 4494883440 is about 67043.8918918047. The cubic root of 4494883440 is about 1650.3376645945.

The spelling of 4494883440 in words is "four billion, four hundred ninety-four million, eight hundred eighty-three 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 93 120 124 151 155 186 240 248 302 310 372 453 465 496 604 620 744 755 906 930 1208 1240 1488 1510 1812 1860 2265 2416 2480 3020 3624 3720 4001 4530 4681 6040 7248 7440 8002 9060 9362 12003 12080 14043 16004 18120 18724 20005 23405 24006 28086 32008 36240 37448 40010 46810 48012 56172 60015 64016 70215 74896 80020 93620 96024 112344 120030 124031 140430 160040 187240 192048 224688 240060 248062 280860 320080 372093 374480 480120 496124 561720 604151 620155 744186 960240 992248 1123440 1208302 1240310 1488372 1812453 1860465 1984496 2416604 2480620 2976744 3020755 3624906 3720930 4833208 4961240 5953488 6041510 7249812 7441860 9062265 9666416 9922480 12083020 14499624 14883720 18124530 18728681 24166040 28999248 29767440 36249060 37457362 48332080 56186043 72498120 74914724 93643405 112372086 144996240 149829448 187286810 224744172 280930215 299658896 374573620 449488344 561860430 749147240 898976688 1123720860 1498294480 2247441720 4494883440