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4969440 = 2532571729
BaseRepresentation
bin10010111101001111100000
3100100110210100
4102331033200
52233010230
6254302400
760145110
oct22751740
910313710
104969440
112894683
1217b7a00
13104cbc8
14935040
15682660
hex4bd3e0

4969440 has 288 divisors, whose sum is σ = 21228480. Its totient is φ = 1032192.

The previous prime is 4969427. The next prime is 4969463. The reversal of 4969440 is 449694.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4969395 and 4969404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171346 + ... + 171374.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

Almost surely, 24969440 is an apocalyptic number.

4969440 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 4969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

4969440 is an abundant number, since it is smaller than the sum of its proper divisors (16259040).

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

4969440 is a wasteful number, since it uses less digits than its factorization.

4969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4969440 is about 2229.2240802575. The cubic root of 4969440 is about 170.6485033839.

The spelling of 4969440 in words is "four million, nine hundred sixty-nine thousand, four hundred forty".