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2506992 = 243291801
BaseRepresentation
bin1001100100000011110000
311201100221120
421210003300
51120210432
6125422240
730211005
oct11440360
94640846
102506992
1114625a4
12a0a980
1369a137
144938ac
15347c2c
hex2640f0

2506992 has 40 divisors (see below), whose sum is σ = 6703440. Its totient is φ = 806400.

The previous prime is 2506991. The next prime is 2506997. The reversal of 2506992 is 2996052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506991) 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, 492 + ... + 2292.

It is an arithmetic number, because the mean of its divisors is an integer number (167586).

22506992 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 2506992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351720).

2506992 is an abundant number, since it is smaller than the sum of its proper divisors (4196448).

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

2506992 is a wasteful number, since it uses less digits than its factorization.

2506992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2506992 is about 1583.3483508060. The cubic root of 2506992 is about 135.8472911080.

The spelling of 2506992 in words is "two million, five hundred six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1801 3602 5403 7204 10806 14408 21612 28816 43224 52229 86448 104458 156687 208916 313374 417832 626748 835664 1253496 2506992