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474140784 = 2431331127193
BaseRepresentation
bin11100010000101…
…101000001110000
31020001011211212210
4130100231001300
51432340001114
6115014252120
714515062435
oct3420550160
91201154783
10474140784
11223704a97
12112957040
13772ccaa0
1446d83b8c
152b95b259
hex1c42d070

474140784 has 160 divisors (see below), whose sum is σ = 1379467264. Its totient is φ = 139345920.

The previous prime is 474140773. The next prime is 474140789. The reversal of 474140784 is 487041474.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474140789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2456592 + ... + 2456784.

Almost surely, 2474140784 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 474140784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689733632).

474140784 is an abundant number, since it is smaller than the sum of its proper divisors (905326480).

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

474140784 is a wasteful number, since it uses less digits than its factorization.

474140784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The square root of 474140784 is about 21774.7740286782. The cubic root of 474140784 is about 779.7746357468.

The spelling of 474140784 in words is "four hundred seventy-four million, one hundred forty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 127 156 186 193 208 248 254 312 372 381 386 403 496 508 579 624 744 762 772 806 1016 1158 1209 1488 1524 1544 1612 1651 2032 2316 2418 2509 3048 3088 3224 3302 3937 4632 4836 4953 5018 5983 6096 6448 6604 7527 7874 9264 9672 9906 10036 11811 11966 13208 15054 15748 17949 19344 19812 20072 23622 23932 24511 26416 30108 31496 35898 39624 40144 47244 47864 49022 51181 60216 62992 71796 73533 77779 79248 94488 95728 98044 102362 120432 143592 147066 153543 155558 188976 196088 204724 233337 287184 294132 307086 311116 318643 392176 409448 466674 588264 614172 622232 637286 759841 818896 933348 955929 1176528 1228344 1244464 1274572 1519682 1866696 1911858 2279523 2456688 2549144 3039364 3733392 3823716 4559046 5098288 6078728 7647432 9118092 9877933 12157456 15294864 18236184 19755866 29633799 36472368 39511732 59267598 79023464 118535196 158046928 237070392 474140784