Search a number
-
+
238506372 = 223213796451
BaseRepresentation
bin11100011011101…
…01000110000100
3121121210101020100
432031311012010
5442024200442
635400004100
75624161566
oct1615650604
9547711210
10238506372
111126a3405
1267a60630
133a54a040
1423967336
1515e1384c
hexe375184

238506372 has 72 divisors (see below), whose sum is σ = 657587840. Its totient is φ = 72446400.

The previous prime is 238506361. The next prime is 238506391. The reversal of 238506372 is 273605832.

238506372 is a `hidden beast` number, since 238 + 50 + 6 + 372 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33747 + ... + 40197.

Almost surely, 2238506372 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 238506372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328793920).

238506372 is an abundant number, since it is smaller than the sum of its proper divisors (419081468).

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

238506372 is a wasteful number, since it uses less digits than its factorization.

238506372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 238506372 is about 15443.6515112197. The cubic root of 238506372 is about 620.1546371131.

The spelling of 238506372 in words is "two hundred thirty-eight million, five hundred six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 316 468 474 711 948 1027 1422 2054 2844 3081 4108 6162 6451 9243 12324 12902 18486 19353 25804 36972 38706 58059 77412 83863 116118 167726 232236 251589 335452 503178 509629 754767 1006356 1019258 1509534 1528887 2038516 3019068 3057774 4586661 6115548 6625177 9173322 13250354 18346644 19875531 26500708 39751062 59626593 79502124 119253186 238506372