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4909440 = 27352557
BaseRepresentation
bin10010101110100110000000
3100020102111010
4102232212000
52224100230
6253120520
756505144
oct22564600
910212433
104909440
112853598
121789140
13102b7c3
1491b224
1566e9b0
hex4ae980

4909440 has 64 divisors (see below), whose sum is σ = 15654960. Its totient is φ = 1308672.

The previous prime is 4909427. The next prime is 4909441. The reversal of 4909440 is 449094.

4909440 = T1040 + T1041 + ... + T1048.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×49094402 = 48205202227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4909398 and 4909407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4909441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642 + ... + 3198.

Almost surely, 24909440 is an apocalyptic number.

4909440 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 4909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827480).

4909440 is an abundant number, since it is smaller than the sum of its proper divisors (10745520).

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

4909440 is a wasteful number, since it uses less digits than its factorization.

4909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4909440 is about 2215.7256147818. The cubic root of 4909440 is about 169.9589289479.

The spelling of 4909440 in words is "four million, nine hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2557 5114 7671 10228 12785 15342 20456 25570 30684 38355 40912 51140 61368 76710 81824 102280 122736 153420 163648 204560 245472 306840 327296 409120 490944 613680 818240 981888 1227360 1636480 2454720 4909440