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504423680 = 28529107127
BaseRepresentation
bin11110000100001…
…110010100000000
31022011011101012112
4132010032110000
52013113024210
6122015314452
715333346655
oct3604162400
91264141175
10504423680
11239808a82
12120b1ba28
1380673767
144adc7c2c
152e43dd05
hex1e10e500

504423680 has 144 divisors (see below), whose sum is σ = 1271531520. Its totient is φ = 191471616.

The previous prime is 504423679. The next prime is 504423683. The reversal of 504423680 is 86324405.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504423683) 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, 3971777 + ... + 3971903.

It is an arithmetic number, because the mean of its divisors is an integer number (8830080).

Almost surely, 2504423680 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 504423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635765760).

504423680 is an abundant number, since it is smaller than the sum of its proper divisors (767107840).

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

504423680 is a wasteful number, since it uses less digits than its factorization.

504423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 504423680 is about 22459.3784419783. The cubic root of 504423680 is about 796.0343747518.

The spelling of 504423680 in words is "five hundred four million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 107 116 127 128 145 160 214 232 254 256 290 320 428 464 508 535 580 635 640 856 928 1016 1070 1160 1270 1280 1712 1856 2032 2140 2320 2540 3103 3424 3683 3712 4064 4280 4640 5080 6206 6848 7366 7424 8128 8560 9280 10160 12412 13589 13696 14732 15515 16256 17120 18415 18560 20320 24824 27178 27392 29464 31030 32512 34240 36830 37120 40640 49648 54356 58928 62060 67945 68480 73660 81280 99296 108712 117856 124120 135890 136960 147320 162560 198592 217424 235712 248240 271780 294640 394081 397184 434848 471424 496480 543560 589280 788162 794368 869696 942848 992960 1087120 1178560 1576324 1739392 1970405 1985920 2174240 2357120 3152648 3478784 3940810 3971840 4348480 4714240 6305296 7881620 8696960 12610592 15763240 17393920 25221184 31526480 50442368 63052960 100884736 126105920 252211840 504423680