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405149745 = 35711313223
BaseRepresentation
bin11000001001100…
…001100000110001
31001020100201222010
4120021201200301
51312204242440
6104111433133
713016500410
oct3011414061
91036321863
10405149745
11198773000
12b38257a9
1365c255a0
143bb45477
152587e580
hex18261831

405149745 has 128 divisors (see below), whose sum is σ = 881491968. Its totient is φ = 154725120.

The previous prime is 405149713. The next prime is 405149747. The reversal of 405149745 is 547941504.

It is not a de Polignac number, because 405149745 - 25 = 405149713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (405149747) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1816704 + ... + 1816926.

It is an arithmetic number, because the mean of its divisors is an integer number (6886656).

Almost surely, 2405149745 is an apocalyptic number.

It is an amenable number.

405149745 is an abundant number, since it is smaller than the sum of its proper divisors (476342223).

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

405149745 is a wasteful number, since it uses less digits than its factorization.

405149745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 405149745 is about 20128.3318980983. The cubic root of 405149745 is about 739.9547969710.

The spelling of 405149745 in words is "four hundred five million, one hundred forty-nine thousand, seven hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 121 143 165 195 223 231 273 363 385 429 455 605 669 715 847 1001 1115 1155 1331 1365 1561 1573 1815 2145 2453 2541 2899 3003 3345 3993 4235 4683 4719 5005 6655 7359 7805 7865 8697 9317 11011 12265 12705 14495 15015 17171 17303 19965 20293 23415 23595 26983 27951 31889 33033 36795 43485 46585 51513 51909 55055 60879 80949 85855 86515 95667 101465 121121 134915 139755 159445 165165 188881 223223 257565 259545 296813 304395 350779 363363 404745 478335 566643 605605 669669 890439 944405 1052337 1116115 1484065 1753895 1816815 2077691 2455453 2833215 3348345 3858569 4452195 5261685 6233073 7366359 10388455 11575707 12277265 19292845 27009983 31165365 36831795 57878535 81029949 135049915 405149745