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475368750 = 23555313
BaseRepresentation
bin11100010101011…
…000110100101110
31020010111020100000
4130111120310232
51433143300000
6115100445130
714531365503
oct3425306456
91203436300
10475368750
1122437363a
121132497a6
137763c9ac
14471c34aa
152bb00000
hex1c558d2e

475368750 has 144 divisors (see below), whose sum is σ = 1339320528. Its totient is φ = 126360000.

The previous prime is 475368749. The next prime is 475368757. The reversal of 475368750 is 57863574.

475368750 is a `hidden beast` number, since 47 + 536 + 8 + 75 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 475368696 and 475368705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475368757) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1518594 + ... + 1518906.

It is an arithmetic number, because the mean of its divisors is an integer number (9300837).

Almost surely, 2475368750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475368750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669660264).

475368750 is an abundant number, since it is smaller than the sum of its proper divisors (863951778).

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

475368750 is an frugal number, since it uses more digits than its factorization.

475368750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 475368750 is about 21802.9527816762. The cubic root of 475368750 is about 780.4472287305.

The spelling of 475368750 in words is "four hundred seventy-five million, three hundred sixty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 243 250 270 313 375 405 450 486 625 626 675 750 810 939 1125 1215 1250 1350 1565 1875 1878 2025 2250 2430 2817 3125 3130 3375 3750 4050 4695 5625 5634 6075 6250 6750 7825 8451 9375 9390 10125 11250 12150 14085 15650 16875 16902 18750 20250 23475 25353 28125 28170 30375 33750 39125 42255 46950 50625 50706 56250 60750 70425 76059 78250 84375 84510 101250 117375 126765 140850 151875 152118 168750 195625 211275 234750 253125 253530 303750 352125 380295 391250 422550 506250 586875 633825 704250 759375 760590 978125 1056375 1173750 1267650 1518750 1760625 1901475 1956250 2112750 2934375 3169125 3521250 3802950 5281875 5868750 6338250 8803125 9507375 10563750 15845625 17606250 19014750 26409375 31691250 47536875 52818750 79228125 95073750 158456250 237684375 475368750