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2048634 = 232771229
BaseRepresentation
bin111110100001001111010
310212002012100
413310021322
51011024014
6111524230
723261460
oct7641172
93762170
102048634
11117a195
12829676
13569613
143b4830
152a7009
hex1f427a

2048634 has 48 divisors (see below), whose sum is σ = 5166720. Its totient is φ = 574560.

The previous prime is 2048621. The next prime is 2048639. The reversal of 2048634 is 4368402.

2048634 is a `hidden beast` number, since 20 + 4 + 8 + 634 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2048598 and 2048607.

It is not an unprimeable number, because it can be changed into a prime (2048639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8832 + ... + 9060.

It is an arithmetic number, because the mean of its divisors is an integer number (107640).

22048634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583360).

2048634 is an abundant number, since it is smaller than the sum of its proper divisors (3118086).

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

2048634 is a wasteful number, since it uses less digits than its factorization.

2048634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2048634 is about 1431.3049989433. The cubic root of 2048634 is about 127.0051871318.

The spelling of 2048634 in words is "two million, forty-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 229 426 458 497 639 687 994 1278 1374 1491 1603 2061 2982 3206 4122 4473 4809 8946 9618 14427 16259 28854 32518 48777 97554 113813 146331 227626 292662 341439 682878 1024317 2048634