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2682948 = 223476771
BaseRepresentation
bin1010001111000001000100
312001022022110
422033001010
51141323243
6133301020
731543002
oct12170104
95038273
102682948
111572814
12a94770
1372c258
144dba72
1537ee33
hex28f044

2682948 has 48 divisors (see below), whose sum is σ = 6580224. Its totient is φ = 850080.

The previous prime is 2682947. The next prime is 2682949. The reversal of 2682948 is 8492862.

It is an interprime number because it is at equal distance from previous prime (2682947) and next prime (2682949).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

Its product of digits (55296) is a multiple of the sum of its prime factors (192).

2682948 is a modest number, since divided by 2948 gives 268 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2682947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37753 + ... + 37823.

It is an arithmetic number, because the mean of its divisors is an integer number (137088).

22682948 is an apocalyptic number.

It is an amenable number.

2682948 is an abundant number, since it is smaller than the sum of its proper divisors (3897276).

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

2682948 is a wasteful number, since it uses less digits than its factorization.

2682948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2682948 is about 1637.9706957086. The cubic root of 2682948 is about 138.9539035941.

The spelling of 2682948 in words is "two million, six hundred eighty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 47 67 71 94 134 141 142 188 201 213 268 282 284 402 426 564 804 852 3149 3337 4757 6298 6674 9447 9514 10011 12596 13348 14271 18894 19028 20022 28542 37788 40044 57084 223579 447158 670737 894316 1341474 2682948