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484388352 = 2932715017
BaseRepresentation
bin11100110111110…
…010111000000000
31020202110110220100
4130313302320000
51443000411402
6120022042400
715001142640
oct3467627000
91222413810
10484388352
11229474158
12116279400
137947a236
1448490520
152c7d271c
hex1cdf2e00

484388352 has 120 divisors (see below), whose sum is σ = 1597795056. Its totient is φ = 138387456.

The previous prime is 484388339. The next prime is 484388371. The reversal of 484388352 is 253883484.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 484388298 and 484388307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24748 + ... + 39764.

Almost surely, 2484388352 is an apocalyptic number.

484388352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798897528).

484388352 is an abundant number, since it is smaller than the sum of its proper divisors (1113406704).

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

484388352 is a wasteful number, since it uses less digits than its factorization.

484388352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15048 (or 15029 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 484388352 is about 22008.8244120398. The cubic root of 484388352 is about 785.3523791545.

The spelling of 484388352 in words is "four hundred eighty-four million, three hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 15017 16128 30034 32256 45051 60068 90102 105119 120136 135153 180204 210238 240272 270306 315357 360408 420476 480544 540612 630714 720816 840952 946071 961088 1081224 1261428 1441632 1681904 1892142 1922176 2162448 2522856 2883264 3363808 3784284 3844352 4324896 5045712 5766528 6727616 7568568 7688704 8649792 10091424 11533056 13455232 15137136 17299584 20182848 23066112 26910464 30274272 34599168 40365696 53820928 60548544 69198336 80731392 121097088 161462784 242194176 484388352