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2152472 = 237217219
BaseRepresentation
bin1000001101100000011000
311001100122012
420031200120
51022334342
6114045052
724203300
oct10154030
94040565
102152472
111240203
12879788
135a496a
14400600
152c7b82
hex20d818

2152472 has 72 divisors (see below), whose sum is σ = 5249700. Its totient is φ = 822528.

The previous prime is 2152457. The next prime is 2152477. The reversal of 2152472 is 2742512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152477) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 113279 + ... + 113297.

22152472 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 2152472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624850).

2152472 is an abundant number, since it is smaller than the sum of its proper divisors (3097228).

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

2152472 is a wasteful number, since it uses less digits than its factorization.

2152472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 45 counting only the distinct ones).

The product of its digits is 1120, while the sum is 23.

The square root of 2152472 is about 1467.1305327066. The cubic root of 2152472 is about 129.1157345269.

Adding to 2152472 its reverse (2742512), we get a palindrome (4894984).

The spelling of 2152472 in words is "two million, one hundred fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 49 56 68 76 98 119 133 136 152 196 238 266 289 323 392 476 532 578 646 833 931 952 1064 1156 1292 1666 1862 2023 2261 2312 2584 3332 3724 4046 4522 5491 6664 7448 8092 9044 10982 14161 15827 16184 18088 21964 28322 31654 38437 43928 56644 63308 76874 113288 126616 153748 269059 307496 538118 1076236 2152472