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2502128952 = 2332173535791
BaseRepresentation
bin1001010100100011…
…0111010100111000
320110101012022122200
42111020313110320
520111021111302
61052141150200
7116001513411
oct22510672470
96411168580
102502128952
111074428574
12599b5b360
1330b4c649b
1419a446808
15e99eb81c
hex95237538

2502128952 has 96 divisors (see below), whose sum is σ = 7196791680. Its totient is φ = 782622720.

The previous prime is 2502128917. The next prime is 2502128957. The reversal of 2502128952 is 2598212052.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502128957) 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, 429177 + ... + 434967.

It is an arithmetic number, because the mean of its divisors is an integer number (74966580).

Almost surely, 22502128952 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 2502128952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598395840).

2502128952 is an abundant number, since it is smaller than the sum of its proper divisors (4694662728).

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

2502128952 is a wasteful number, since it uses less digits than its factorization.

2502128952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173 (or 6166 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2502128952 is about 50021.2849894922. The cubic root of 2502128952 is about 1357.5939566441.

The spelling of 2502128952 in words is "two billion, five hundred two million, one hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 353 408 612 706 1059 1224 1412 2118 2824 3177 4236 5791 6001 6354 8472 11582 12002 12708 17373 18003 23164 24004 25416 34746 36006 46328 48008 52119 54009 69492 72012 98447 104238 108018 138984 144024 196894 208476 216036 295341 393788 416952 432072 590682 787576 886023 1181364 1772046 2044223 2362728 3544092 4088446 6132669 7088184 8176892 12265338 16353784 18398007 24530676 34751791 36796014 49061352 69503582 73592028 104255373 139007164 147184056 208510746 278014328 312766119 417021492 625532238 834042984 1251064476 2502128952