Search a number
-
+
52976448 = 2632721877
BaseRepresentation
bin1100101000010…
…1101101000000
310200200111000200
43022011231000
5102030221243
65131245200
71212202200
oct312055500
9120614020
1052976448
11279a3a98
12158a9800
13ac8b115
147070400
1549b6ad3
hex3285b40

52976448 has 126 divisors (see below), whose sum is σ = 176732946. Its totient is φ = 15128064.

The previous prime is 52976447. The next prime is 52976459. The reversal of 52976448 is 84467925.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 47444544 + 5531904 = 6888^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52976447) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27286 + ... + 29162.

Almost surely, 252976448 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 52976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88366473).

52976448 is an abundant number, since it is smaller than the sum of its proper divisors (123756498).

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

52976448 is a wasteful number, since it uses less digits than its factorization.

52976448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1889 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 52976448 is about 7278.4921515380. The cubic root of 52976448 is about 375.5729269003.

The spelling of 52976448 in words is "fifty-two million, nine hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 1877 2016 2352 3136 3528 3754 4032 4704 5631 7056 7508 9408 11262 13139 14112 15016 16893 22524 26278 28224 30032 33786 39417 45048 52556 60064 67572 78834 90096 91973 105112 118251 120128 135144 157668 180192 183946 210224 236502 270288 275919 315336 360384 367892 420448 473004 540576 551838 630672 735784 827757 840896 946008 1081152 1103676 1261344 1471568 1655514 1892016 2207352 2522688 2943136 3311028 3784032 4414704 5886272 6622056 7568064 8829408 13244112 17658816 26488224 52976448