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53336430 = 23257312731
BaseRepresentation
bin1100101101110…
…1100101101110
310201100202211100
43023131211232
5102123231210
65143103530
71215231540
oct313354556
9121322740
1053336430
112811a4a4
1215a41ba6
13b085c24
147125690
154a385c0
hex32dd96e

53336430 has 96 divisors (see below), whose sum is σ = 163657728. Its totient is φ = 11793600.

The previous prime is 53336417. The next prime is 53336431. The reversal of 53336430 is 3463335.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 53336394 and 53336403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53336431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18165 + ... + 20895.

It is an arithmetic number, because the mean of its divisors is an integer number (1704768).

Almost surely, 253336430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53336430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81828864).

53336430 is an abundant number, since it is smaller than the sum of its proper divisors (110321298).

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

53336430 is a wasteful number, since it uses less digits than its factorization.

53336430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 53336430 is about 7303.1794445981. The cubic root of 53336430 is about 376.4216965987.

Adding to 53336430 its reverse (3463335), we get a palindrome (56799765).

It can be divided in two parts, 533 and 36430, that added together give a palindrome (36963).

The spelling of 53336430 in words is "fifty-three million, three hundred thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2731 2790 3255 3906 5462 6510 8193 9765 13655 16386 19117 19530 24579 27310 38234 40965 49158 57351 81930 84661 95585 114702 122895 169322 172053 191170 245790 253983 286755 344106 423305 507966 573510 592627 761949 846610 860265 1185254 1269915 1523898 1720530 1777881 2539830 2963135 3555762 3809745 5333643 5926270 7619490 8889405 10667286 17778810 26668215 53336430