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2147472 = 24341657
BaseRepresentation
bin1000001100010010010000
311001002210000
420030102100
51022204342
6114010000
724152565
oct10142220
94032700
102147472
111237478
12876900
135a25c2
143dc86c
152c644c
hex20c490

2147472 has 50 divisors (see below), whose sum is σ = 6219158. Its totient is φ = 715392.

The previous prime is 2147461. The next prime is 2147473. The reversal of 2147472 is 2747412.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 467856 = 1296^2 + 684^2 .

It is a super-2 number, since 2×21474722 = 9223271981568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2147473) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 468 + ... + 2124.

22147472 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 2147472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109579).

2147472 is an abundant number, since it is smaller than the sum of its proper divisors (4071686).

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

2147472 is a wasteful number, since it uses less digits than its factorization.

2147472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1662 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 2147472 is about 1465.4255354674. The cubic root of 2147472 is about 129.0156822471.

The spelling of 2147472 in words is "two million, one hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1657 3314 4971 6628 9942 13256 14913 19884 26512 29826 39768 44739 59652 79536 89478 119304 134217 178956 238608 268434 357912 536868 715824 1073736 2147472