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742850460 = 2233511211369
BaseRepresentation
bin101100010001101…
…111111110011100
31220202210201021000
4230101233332130
53010132203320
6201413510300
724260060532
oct5421577634
91822721230
10742850460
11351357600
12188942390
13bab934b1
1470930152
1545338c90
hex2c46ff9c

742850460 has 144 divisors (see below), whose sum is σ = 2540512800. Its totient is φ = 180069120.

The previous prime is 742850431. The next prime is 742850461. The reversal of 742850460 is 64058247.

742850460 is a `hidden beast` number, since 74 + 28 + 504 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742850461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59656 + ... + 71024.

It is an arithmetic number, because the mean of its divisors is an integer number (17642450).

Almost surely, 2742850460 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 742850460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270256400).

742850460 is an abundant number, since it is smaller than the sum of its proper divisors (1797662340).

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

742850460 is a wasteful number, since it uses less digits than its factorization.

742850460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 742850460 is about 27255.2831575825. The cubic root of 742850460 is about 905.6640568438.

The spelling of 742850460 in words is "seven hundred forty-two million, eight hundred fifty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 10890 11369 13068 16335 21780 22738 32670 34107 45476 56845 65340 68214 102321 113690 125059 136428 170535 204642 227380 250118 306963 341070 375177 409284 500236 511605 613926 625295 682140 750354 1023210 1125531 1227852 1250590 1375649 1500708 1534815 1875885 2046420 2251062 2501180 2751298 3069630 3376593 3751770 4126947 4502124 5502596 5627655 6139260 6753186 6878245 7503540 8253894 11255310 12380841 13506372 13756490 16507788 16882965 20634735 22510620 24761682 27512980 33765930 37142523 41269470 49523364 61904205 67531860 74285046 82538940 123808410 148570092 185712615 247616820 371425230 742850460