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52402304 = 271929743
BaseRepresentation
bin1100011111100…
…1100010000000
310122121022110002
43013321202000
5101403333204
65111055132
71204261253
oct307714200
9118538402
1052402304
1127641699
12156714a8
13ab199a6
146d6109a
15490191e
hex31f9880

52402304 has 64 divisors (see below), whose sum is σ = 113832000. Its totient is φ = 23933952.

The previous prime is 52402297. The next prime is 52402309. The reversal of 52402304 is 40320425.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (52402309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70157 + ... + 70899.

It is an arithmetic number, because the mean of its divisors is an integer number (1778625).

Almost surely, 252402304 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 52402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56916000).

52402304 is an abundant number, since it is smaller than the sum of its proper divisors (61429696).

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

52402304 is a wasteful number, since it uses less digits than its factorization.

52402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 52402304 is about 7238.9435693339. The cubic root of 52402304 is about 374.2112107347.

Adding to 52402304 its reverse (40320425), we get a palindrome (92722729).

The spelling of 52402304 in words is "fifty-two million, four hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 304 464 551 608 743 928 1102 1216 1486 1856 2204 2432 2972 3712 4408 5944 8816 11888 14117 17632 21547 23776 28234 35264 43094 47552 56468 70528 86188 95104 112936 172376 225872 344752 409393 451744 689504 818786 903488 1379008 1637572 1806976 2758016 3275144 6550288 13100576 26201152 52402304