[go: up one dir, main page]

Search a number
-
+
5369952 = 253761131
BaseRepresentation
bin10100011111000001100000
3101002211012010
4110133001200
52333314302
6311032520
763433560
oct24370140
911084163
105369952
113038585
12196b740
1311602b3
149dada0
1571116c
hex51f060

5369952 has 96 divisors (see below), whose sum is σ = 16498944. Its totient is φ = 1497600.

The previous prime is 5369939. The next prime is 5369957. The reversal of 5369952 is 2599635.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5369952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5369957) 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, 40927 + ... + 41057.

It is an arithmetic number, because the mean of its divisors is an integer number (171864).

Almost surely, 25369952 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 5369952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472).

5369952 is an abundant number, since it is smaller than the sum of its proper divisors (11128992).

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

5369952 is a wasteful number, since it uses less digits than its factorization.

5369952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its digits is 72900, while the sum is 39.

The square root of 5369952 is about 2317.3156884637. The cubic root of 5369952 is about 175.1150481582.

The spelling of 5369952 in words is "five million, three hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 131 168 183 224 244 262 336 366 393 427 488 524 672 732 786 854 917 976 1048 1281 1464 1572 1708 1834 1952 2096 2562 2751 2928 3144 3416 3668 4192 5124 5502 5856 6288 6832 7336 7991 10248 11004 12576 13664 14672 15982 20496 22008 23973 29344 31964 40992 44016 47946 55937 63928 88032 95892 111874 127856 167811 191784 223748 255712 335622 383568 447496 671244 767136 894992 1342488 1789984 2684976 5369952