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4905440 = 255233143
BaseRepresentation
bin10010101101100111100000
3100020012222222
4102231213200
52223433230
6253050212
756460401
oct22554740
910205888
104905440
112850591
121786968
131029a37
149199a8
1566d6e5
hex4ad9e0

4905440 has 96 divisors (see below), whose sum is σ = 12773376. Its totient is φ = 1774080.

The previous prime is 4905431. The next prime is 4905473. The reversal of 4905440 is 445094.

4905440 = T456 + T457 + ... + T498.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 114059 + ... + 114101.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

Almost surely, 24905440 is an apocalyptic number.

4905440 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 4905440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386688).

4905440 is an abundant number, since it is smaller than the sum of its proper divisors (7867936).

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

4905440 is a wasteful number, since it uses less digits than its factorization.

4905440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4905440 is about 2214.8227920084. The cubic root of 4905440 is about 169.9127580043.

It can be divided in two parts, 49054 and 40, that added together give a palindrome (49094).

The spelling of 4905440 in words is "four million, nine hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 43 46 62 80 86 92 115 124 155 160 172 184 215 230 248 310 344 368 430 460 496 620 688 713 736 860 920 989 992 1240 1333 1376 1426 1720 1840 1978 2480 2666 2852 3440 3565 3680 3956 4945 4960 5332 5704 6665 6880 7130 7912 9890 10664 11408 13330 14260 15824 19780 21328 22816 26660 28520 30659 31648 39560 42656 53320 57040 61318 79120 106640 114080 122636 153295 158240 213280 245272 306590 490544 613180 981088 1226360 2452720 4905440