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238877152 = 25411631117
BaseRepresentation
bin11100011110011…
…11100111100000
3121122111012211221
432033033213200
5442123032102
635411544424
75630264563
oct1617174740
9548435757
10238877152
11112926a38
1267bbb114
133a649a37
1423a224da
1515e88637
hexe3cf9e0

238877152 has 48 divisors (see below), whose sum is σ = 485149392. Its totient is φ = 115706880.

The previous prime is 238877137. The next prime is 238877153. The reversal of 238877152 is 251778832.

It is a super-2 number, since 2×2388771522 = 114124587495262208, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 238877099 and 238877108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238877153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213298 + ... + 214414.

It is an arithmetic number, because the mean of its divisors is an integer number (10107279).

Almost surely, 2238877152 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 238877152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242574696).

238877152 is an abundant number, since it is smaller than the sum of its proper divisors (246272240).

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

238877152 is a wasteful number, since it uses less digits than its factorization.

238877152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1323 counting only the distinct ones).

The product of its digits is 188160, while the sum is 43.

The square root of 238877152 is about 15455.6511347791. The cubic root of 238877152 is about 620.4758331220.

The spelling of 238877152 in words is "two hundred thirty-eight million, eight hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 82 163 164 326 328 652 656 1117 1304 1312 2234 2608 4468 5216 6683 8936 13366 17872 26732 35744 45797 53464 91594 106928 182071 183188 213856 364142 366376 728284 732752 1456568 1465504 2913136 5826272 7464911 14929822 29859644 59719288 119438576 238877152