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238400505 = 32571961653
BaseRepresentation
bin11100011010110…
…11001111111001
3121121121000000100
432031123033321
5442012304010
635353430013
75623241130
oct1615331771
9547530010
10238400505
11112630912
1267a0b309
133a510ab5
142393a917
1515de22c0
hexe35b3f9

238400505 has 96 divisors (see below), whose sum is σ = 506039040. Its totient is φ = 101399040.

The previous prime is 238400483. The next prime is 238400521. The reversal of 238400505 is 505004832.

It is not a de Polignac number, because 238400505 - 26 = 238400441 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364759 + ... + 365411.

It is an arithmetic number, because the mean of its divisors is an integer number (5271240).

Almost surely, 2238400505 is an apocalyptic number.

It is an amenable number.

238400505 is an abundant number, since it is smaller than the sum of its proper divisors (267638535).

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

238400505 is a wasteful number, since it uses less digits than its factorization.

238400505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 238400505 is about 15440.2236058938. The cubic root of 238400505 is about 620.0628665008.

The spelling of 238400505 in words is "two hundred thirty-eight million, four hundred thousand, five hundred five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 61 63 95 105 133 171 183 285 305 315 399 427 549 653 665 855 915 1159 1197 1281 1959 1995 2135 2745 3265 3477 3843 4571 5795 5877 5985 6405 8113 9795 10431 12407 13713 17385 19215 22855 24339 29385 37221 39833 40565 41139 52155 62035 68565 73017 86849 111663 119499 121695 186105 199165 205695 260547 278831 358497 365085 434245 558315 597495 756827 781641 836493 1302735 1394155 1792485 2270481 2509479 3784135 3908205 4182465 5297789 6811443 11352405 12547395 15893367 26488945 34057215 47680101 79466835 238400505