Search a number
-
+
203037952 = 28133192
BaseRepresentation
bin11000001101000…
…01110100000000
3112011001101201011
430012201310000
5403434203302
632051450304
75013536245
oct1406416400
9464041634
10203037952
11a4678467
1257bb6994
13330ac000
141cd735cc
1512c595d7
hexc1a1d00

203037952 has 108 divisors (see below), whose sum is σ = 463364580. Its totient is φ = 88777728.

The previous prime is 203037937. The next prime is 203037983. The reversal of 203037952 is 259730302.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 195552256 = 2736^2 + 13984^2 .

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, 10686199 + ... + 10686217.

Almost surely, 2203037952 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 203037952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231682290).

203037952 is an abundant number, since it is smaller than the sum of its proper divisors (260326628).

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

203037952 is an frugal number, since it uses more digits than its factorization.

203037952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 203037952 is about 14249.1386406337. The cubic root of 203037952 is about 587.7496890679.

The spelling of 203037952 in words is "two hundred three million, thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 169 208 247 256 304 338 361 416 494 608 676 722 832 988 1216 1352 1444 1664 1976 2197 2432 2704 2888 3211 3328 3952 4394 4693 4864 5408 5776 6422 7904 8788 9386 10816 11552 12844 15808 17576 18772 21632 23104 25688 31616 35152 37544 41743 43264 46208 51376 61009 63232 70304 75088 83486 92416 102752 122018 140608 150176 166972 205504 244036 281216 300352 333944 411008 488072 562432 600704 667888 793117 822016 976144 1201408 1335776 1586234 1952288 2671552 3172468 3904576 5343104 6344936 7809152 10686208 12689872 15618304 25379744 50759488 101518976 203037952