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2058496 = 28111743
BaseRepresentation
bin111110110100100000000
310212120201121
413312210000
51011332441
6112042024
723332306
oct7664400
93776647
102058496
111186640
12833314
13570c5b
143b8276
152a9dd1
hex1f6900

2058496 has 72 divisors (see below), whose sum is σ = 4856544. Its totient is φ = 860160.

The previous prime is 2058473. The next prime is 2058541. The reversal of 2058496 is 6948502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a nialpdrome in base 8.

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, 47851 + ... + 47893.

It is an arithmetic number, because the mean of its divisors is an integer number (67452).

22058496 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 2058496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428272).

2058496 is an abundant number, since it is smaller than the sum of its proper divisors (2798048).

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

2058496 is a wasteful number, since it uses less digits than its factorization.

2058496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2058496 is about 1434.7459705467. The cubic root of 2058496 is about 127.2086594055.

The spelling of 2058496 in words is "two million, fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 43 44 64 68 86 88 128 136 172 176 187 256 272 344 352 374 473 544 688 704 731 748 946 1088 1376 1408 1462 1496 1892 2176 2752 2816 2924 2992 3784 4352 5504 5848 5984 7568 8041 11008 11696 11968 15136 16082 23392 23936 30272 32164 46784 47872 60544 64328 93568 121088 128656 187136 257312 514624 1029248 2058496