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2534952 = 233779191
BaseRepresentation
bin1001101010111000101000
311202210022010
421222320220
51122104302
6130155520
730355350
oct11527050
94683263
102534952
111481602
12a22ba0
136a9a94
1449db60
1535116c
hex26ae28

2534952 has 64 divisors (see below), whose sum is σ = 7372800. Its totient is φ = 711360.

The previous prime is 2534951. The next prime is 2534953. The reversal of 2534952 is 2594352.

It is an interprime number because it is at equal distance from previous prime (2534951) and next prime (2534953).

It is not an unprimeable number, because it can be changed into a prime (2534951) 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, 13177 + ... + 13367.

It is an arithmetic number, because the mean of its divisors is an integer number (115200).

22534952 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 2534952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686400).

2534952 is an abundant number, since it is smaller than the sum of its proper divisors (4837848).

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

2534952 is a wasteful number, since it uses less digits than its factorization.

2534952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 2534952 is about 1592.1532589547. The cubic root of 2534952 is about 136.3504514121.

It can be divided in two parts, 2534 and 952, that added together give a triangular number (3486 = T83).

The spelling of 2534952 in words is "two million, five hundred thirty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 191 237 316 382 474 553 573 632 764 948 1106 1146 1337 1528 1659 1896 2212 2292 2674 3318 4011 4424 4584 5348 6636 8022 10696 13272 15089 16044 30178 32088 45267 60356 90534 105623 120712 181068 211246 316869 362136 422492 633738 844984 1267476 2534952