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4740480 = 27325823
BaseRepresentation
bin10010000101010110000000
322220211201100
4102011112000
52203143410
6245334400
755202433
oct22052600
98824640
104740480
112748658
121707400
13c9c924
148b581a
156398c0
hex485580

4740480 has 96 divisors (see below), whose sum is σ = 16389360. Its totient is φ = 1262592.

The previous prime is 4740469. The next prime is 4740499. The reversal of 4740480 is 840474.

4740480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5349 + ... + 6171.

Almost surely, 24740480 is an apocalyptic number.

4740480 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 4740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8194680).

4740480 is an abundant number, since it is smaller than the sum of its proper divisors (11648880).

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

4740480 is a wasteful number, since it uses less digits than its factorization.

4740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4740480 is about 2177.2643385680. The cubic root of 4740480 is about 167.9863934558.

The spelling of 4740480 in words is "four million, seven hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 823 960 1152 1440 1646 1920 2469 2880 3292 4115 4938 5760 6584 7407 8230 9876 12345 13168 14814 16460 19752 24690 26336 29628 32920 37035 39504 49380 52672 59256 65840 74070 79008 98760 105344 118512 131680 148140 158016 197520 237024 263360 296280 316032 395040 474048 526720 592560 790080 948096 1185120 1580160 2370240 4740480