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42303520 = 2557107353
BaseRepresentation
bin1010000101100…
…0000000100000
32221121020112001
42201120000200
541312203040
64110413344
71022400610
oct241300040
987536461
1042303520
1121974296
1212201254
1389c218c
145892a40
153aa959a
hex2858020

42303520 has 96 divisors (see below), whose sum is σ = 115613568. Its totient is φ = 14327808.

The previous prime is 42303511. The next prime is 42303539. The reversal of 42303520 is 2530324.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119664 + ... + 120016.

It is an arithmetic number, because the mean of its divisors is an integer number (1204308).

Almost surely, 242303520 is an apocalyptic number.

42303520 is a gapful number since it is divisible by the number (40) 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 42303520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57806784).

42303520 is an abundant number, since it is smaller than the sum of its proper divisors (73310048).

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

42303520 is a wasteful number, since it uses less digits than its factorization.

42303520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 42303520 is about 6504.1156201285. The cubic root of 42303520 is about 348.4379916943.

Adding to 42303520 its reverse (2530324), we get a palindrome (44833844).

It can be divided in two parts, 4230 and 3520, that added together give a triangular number (7750 = T124).

The spelling of 42303520 in words is "forty-two million, three hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 107 112 140 160 214 224 280 353 428 535 560 706 749 856 1070 1120 1412 1498 1712 1765 2140 2471 2824 2996 3424 3530 3745 4280 4942 5648 5992 7060 7490 8560 9884 11296 11984 12355 14120 14980 17120 19768 23968 24710 28240 29960 37771 39536 49420 56480 59920 75542 79072 98840 119840 151084 188855 197680 264397 302168 377710 395360 528794 604336 755420 1057588 1208672 1321985 1510840 2115176 2643970 3021680 4230352 5287940 6043360 8460704 10575880 21151760 42303520