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2058432 = 26371151
BaseRepresentation
bin111110110100011000000
310212120122020
413312203000
51011332212
6112041440
723332155
oct7664300
93776566
102058432
111186592
12833280
13570c0c
143b822c
152a9d8c
hex1f68c0

2058432 has 56 divisors (see below), whose sum is σ = 5559552. Its totient is φ = 672000.

The previous prime is 2058409. The next prime is 2058439. The reversal of 2058432 is 2348502.

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

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2058439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13557 + ... + 13707.

22058432 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 2058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779776).

2058432 is an abundant number, since it is smaller than the sum of its proper divisors (3501120).

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

2058432 is a wasteful number, since it uses less digits than its factorization.

2058432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2058432 is about 1434.7236667735. The cubic root of 2058432 is about 127.2073410581.

The spelling of 2058432 in words is "two million, fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 151 192 213 284 302 426 453 568 604 852 906 1136 1208 1704 1812 2272 2416 3408 3624 4544 4832 6816 7248 9664 10721 13632 14496 21442 28992 32163 42884 64326 85768 128652 171536 257304 343072 514608 686144 1029216 2058432