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493381770 = 23575397457
BaseRepresentation
bin11101011010000…
…110100010001010
31021101101101112220
4131122012202022
52002301204040
6120542514510
715140450550
oct3532064212
91241341486
10493381770
11233557032
12119295a36
137b2a889b
1449751bd0
152d4ac2d0
hex1d68688a

493381770 has 128 divisors (see below), whose sum is σ = 1396071936. Its totient is φ = 109264896.

The previous prime is 493381753. The next prime is 493381789. The reversal of 493381770 is 77183394.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1079382 + ... + 1079838.

It is an arithmetic number, because the mean of its divisors is an integer number (10906812).

Almost surely, 2493381770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493381770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698035968).

493381770 is an abundant number, since it is smaller than the sum of its proper divisors (902690166).

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

493381770 is a wasteful number, since it uses less digits than its factorization.

493381770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624.

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 493381770 is about 22212.1986755026. The cubic root of 493381770 is about 790.1830318845.

The spelling of 493381770 in words is "four hundred ninety-three million, three hundred eighty-one thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 97 105 106 159 194 210 265 291 318 371 457 485 530 582 679 742 795 914 970 1113 1358 1371 1455 1590 1855 2037 2226 2285 2742 2910 3199 3395 3710 4074 4570 5141 5565 6398 6790 6855 9597 10185 10282 11130 13710 15423 15995 19194 20370 24221 25705 30846 31990 35987 44329 47985 48442 51410 71974 72663 77115 88658 95970 107961 121105 132987 145326 154230 169547 179935 215922 221645 242210 265974 310303 339094 359870 363315 443290 508641 539805 620606 664935 726630 847735 930909 1017282 1079610 1329870 1551515 1695470 1861818 2349437 2543205 3103030 4654545 4698874 5086410 7048311 9309090 11747185 14096622 16446059 23494370 32892118 35241555 49338177 70483110 82230295 98676354 164460590 246690885 493381770