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2038272 = 2931327
BaseRepresentation
bin111110001101000000000
310211112222120
413301220000
51010211042
6111404240
723216325
oct7615000
93745876
102038272
111172425
12823680
135649a2
143b0b4c
152a3dec
hex1f1a00

2038272 has 40 divisors (see below), whose sum is σ = 5434176. Its totient is φ = 678912.

The previous prime is 2038271. The next prime is 2038291. The reversal of 2038272 is 2728302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2038271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 873 + ... + 2199.

22038272 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 2038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717088).

2038272 is an abundant number, since it is smaller than the sum of its proper divisors (3395904).

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

2038272 is an equidigital number, since it uses as much as digits as its factorization.

2038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2038272 is about 1427.6806365571. The cubic root of 2038272 is about 126.7906941526.

The spelling of 2038272 in words is "two million, thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1327 1536 2654 3981 5308 7962 10616 15924 21232 31848 42464 63696 84928 127392 169856 254784 339712 509568 679424 1019136 2038272