Search a number
-
+
52891776 = 273272937
BaseRepresentation
bin1100100111000…
…1000010000000
310200112011212200
43021301002000
5102020014101
65125353200
71211400300
oct311610200
9120464780
1052891776
1127946413
1215868800
13ac5b712
14704b600
15499b986
hex3271080

52891776 has 144 divisors (see below), whose sum is σ = 177239790. Its totient is φ = 15095808.

The previous prime is 52891771. The next prime is 52891799. The reversal of 52891776 is 67719825.

It can be written as a sum of positive squares in only one way, i.e., 52186176 + 705600 = 7224^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (52891771) 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, 55980 + ... + 56916.

Almost surely, 252891776 is an apocalyptic number.

52891776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52891776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88619895).

52891776 is an abundant number, since it is smaller than the sum of its proper divisors (124348014).

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

52891776 is a wasteful number, since it uses less digits than its factorization.

52891776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 949 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 52891776 is about 7272.6732361629. The cubic root of 52891776 is about 375.3727280740.

The spelling of 52891776 in words is "fifty-two million, eight hundred ninety-one thousand, seven hundred seventy-six".

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 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 937 1008 1152 1176 1344 1568 1764 1874 2016 2352 2688 2811 3136 3528 3748 4032 4704 5622 6272 6559 7056 7496 8064 8433 9408 11244 13118 14112 14992 16866 18816 19677 22488 26236 28224 29984 33732 39354 44976 45913 52472 56448 59031 59968 67464 78708 89952 91826 104944 118062 119936 134928 137739 157416 179904 183652 209888 236124 269856 275478 314832 359808 367304 413217 419776 472248 539712 550956 629664 734608 826434 839552 944496 1079424 1101912 1259328 1469216 1652868 1888992 2203824 2518656 2938432 3305736 3777984 4407648 5876864 6611472 7555968 8815296 13222944 17630592 26445888 52891776