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2853972 = 2232117207
BaseRepresentation
bin1010111000110001010100
312100222220200
422320301110
51212311342
6141100500
733154422
oct12706124
95328820
102853972
11167a260
12b57730
1378c054
14544112
153b594c
hex2b8c54

2853972 has 36 divisors (see below), whose sum is σ = 7871136. Its totient is φ = 864720.

The previous prime is 2853937. The next prime is 2853973. The reversal of 2853972 is 2793582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2853973) 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, 3208 + ... + 3999.

22853972 is an apocalyptic number.

2853972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2853972 is an abundant number, since it is smaller than the sum of its proper divisors (5017164).

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

2853972 is a wasteful number, since it uses less digits than its factorization.

2853972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7223 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2853972 is about 1689.3702968858. The cubic root of 2853972 is about 141.8458288398.

The spelling of 2853972 in words is "two million, eight hundred fifty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 7207 14414 21621 28828 43242 64863 79277 86484 129726 158554 237831 259452 317108 475662 713493 951324 1426986 2853972