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2530752 = 26372269
BaseRepresentation
bin1001101001110111000000
311202120112120
421221313000
51121441002
6130124240
730340200
oct11516700
94676476
102530752
111479434
12a20680
136a7bb3
1449c400
1534ecbc
hex269dc0

2530752 has 84 divisors (see below), whose sum is σ = 7818120. Its totient is φ = 720384.

The previous prime is 2530751. The next prime is 2530769. The reversal of 2530752 is 2570352.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9274 + ... + 9542.

22530752 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 2530752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909060).

2530752 is an abundant number, since it is smaller than the sum of its proper divisors (5287368).

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

2530752 is a wasteful number, since it uses less digits than its factorization.

2530752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 2530752 is about 1590.8337436703. The cubic root of 2530752 is about 136.2751063349.

The spelling of 2530752 in words is "two million, five hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 269 294 336 392 448 538 588 672 784 807 1076 1176 1344 1568 1614 1883 2152 2352 3136 3228 3766 4304 4704 5649 6456 7532 8608 9408 11298 12912 13181 15064 17216 22596 25824 26362 30128 39543 45192 51648 52724 60256 79086 90384 105448 120512 158172 180768 210896 316344 361536 421792 632688 843584 1265376 2530752