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427717740 = 223519419151
BaseRepresentation
bin11001011111100…
…111010001101100
31002210211022102210
4121133213101230
51333443431430
6110235250420
713412353332
oct3137472154
91083738383
10427717740
111aa48773a
12bb2a9a10
136a7c7828
1440b3bb52
152783b2b0
hex197e746c

427717740 has 96 divisors (see below), whose sum is σ = 1291530240. Its totient is φ = 105408000.

The previous prime is 427717691. The next prime is 427717793. The reversal of 427717740 is 47717724.

It is a super-2 number, since 2×4277177402 = 365884930221415200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42165 + ... + 51315.

It is an arithmetic number, because the mean of its divisors is an integer number (13453440).

Almost surely, 2427717740 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 427717740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645765120).

427717740 is an abundant number, since it is smaller than the sum of its proper divisors (863812500).

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

427717740 is a wasteful number, since it uses less digits than its factorization.

427717740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 76832, while the sum is 39.

The square root of 427717740 is about 20681.3379644548. The cubic root of 427717740 is about 753.4465023465.

The spelling of 427717740 in words is "four hundred twenty-seven million, seven hundred seventeen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 164 190 205 228 246 285 380 410 492 570 615 779 820 1140 1230 1558 2337 2460 3116 3895 4674 7790 9151 9348 11685 15580 18302 23370 27453 36604 45755 46740 54906 91510 109812 137265 173869 183020 274530 347738 375191 521607 549060 695476 750382 869345 1043214 1125573 1500764 1738690 1875955 2086428 2251146 2608035 3477380 3751910 4502292 5216070 5627865 7128629 7503820 10432140 11255730 14257258 21385887 22511460 28514516 35643145 42771774 71286290 85543548 106929435 142572580 213858870 427717740