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2093472 = 25332423
BaseRepresentation
bin111111111000110100000
310221100201000
413333012200
51013442342
6112512000
723536263
oct7770640
93840630
102093472
1111aa947
1284b600
13583b54
143c6cda
152b544c
hex1ff1a0

2093472 has 48 divisors (see below), whose sum is σ = 6108480. Its totient is φ = 697536.

The previous prime is 2093467. The next prime is 2093489. The reversal of 2093472 is 2743902.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348 + ... + 2075.

It is an arithmetic number, because the mean of its divisors is an integer number (127260).

22093472 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 2093472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054240).

2093472 is an abundant number, since it is smaller than the sum of its proper divisors (4015008).

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

2093472 is a wasteful number, since it uses less digits than its factorization.

2093472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2093472 is about 1446.8835474910. The cubic root of 2093472 is about 127.9250863727.

The spelling of 2093472 in words is "two million, ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2423 4846 7269 9692 14538 19384 21807 29076 38768 43614 58152 65421 77536 87228 116304 130842 174456 232608 261684 348912 523368 697824 1046736 2093472