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2478672 = 243272459
BaseRepresentation
bin1001011101001001010000
311122221002200
421131021100
51113304142
6125043200
730032310
oct11351120
94587080
102478672
111443299
129b6500
1368a291
14487440
1533e64c
hex25d250

2478672 has 60 divisors (see below), whose sum is σ = 7931040. Its totient is φ = 707904.

The previous prime is 2478661. The next prime is 2478673. The reversal of 2478672 is 2768742.

It is a super-2 number, since 2×24786722 = 12287629767168, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222 + ... + 2237.

It is an arithmetic number, because the mean of its divisors is an integer number (132184).

22478672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965520).

2478672 is an abundant number, since it is smaller than the sum of its proper divisors (5452368).

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

2478672 is a wasteful number, since it uses less digits than its factorization.

2478672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2471 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2478672 is about 1574.3798779202. The cubic root of 2478672 is about 135.3338240550. Note that the first 3 decimals are identical.

The spelling of 2478672 in words is "two million, four hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2459 4918 7377 9836 14754 17213 19672 22131 29508 34426 39344 44262 51639 59016 68852 88524 103278 118032 137704 154917 177048 206556 275408 309834 354096 413112 619668 826224 1239336 2478672