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238626990 = 23257478059
BaseRepresentation
bin11100011100100…
…10100010101110
3121122000111200200
432032102202232
5442042030430
635402334330
75625203340
oct1616224256
9548014620
10238626990
11112775a98
1267aba3a6
133a58cc04
1423999290
1515e39460
hexe3928ae

238626990 has 96 divisors (see below), whose sum is σ = 724239360. Its totient is φ = 53376192.

The previous prime is 238626989. The next prime is 238626991. The reversal of 238626990 is 99626832.

238626990 is a `hidden beast` number, since 2 + 386 + 269 + 9 + 0 = 666.

238626990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238626989) and next prime (238626991).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238626991) 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, 25581 + ... + 33639.

It is an arithmetic number, because the mean of its divisors is an integer number (7544160).

Almost surely, 2238626990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238626990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362119680).

238626990 is an abundant number, since it is smaller than the sum of its proper divisors (485612370).

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

238626990 is a wasteful number, since it uses less digits than its factorization.

238626990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8126 (or 8123 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 238626990 is about 15447.5561173928. The cubic root of 238626990 is about 620.2591615125.

The spelling of 238626990 in words is "two hundred thirty-eight million, six hundred twenty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 47 63 70 90 94 105 126 141 210 235 282 315 329 423 470 630 658 705 846 987 1410 1645 1974 2115 2961 3290 4230 4935 5922 8059 9870 14805 16118 24177 29610 40295 48354 56413 72531 80590 112826 120885 145062 169239 241770 282065 338478 362655 378773 507717 564130 725310 757546 846195 1015434 1136319 1692390 1893865 2272638 2538585 2651411 3408957 3787730 5077170 5302822 5681595 6817914 7954233 11363190 13257055 15908466 17044785 23862699 26514110 34089570 39771165 47725398 79542330 119313495 238626990