Search a number
-
+
249239628 = 2232113179257
BaseRepresentation
bin11101101101100…
…01100001001100
3122100222200111100
432312301201030
51002301132003
640422023100
76114334101
oct1666614114
9570880440
10249239628
11118764470
126b577a90
133c837591
142515caa8
1516d33ba3
hexedb184c

249239628 has 144 divisors (see below), whose sum is σ = 721244160. Its totient is φ = 71884800.

The previous prime is 249239611. The next prime is 249239647. The reversal of 249239628 is 826932942.

249239628 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 969676 + ... + 969932.

It is an arithmetic number, because the mean of its divisors is an integer number (5008640).

Almost surely, 2249239628 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 249239628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360622080).

249239628 is an abundant number, since it is smaller than the sum of its proper divisors (472004532).

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

249239628 is a wasteful number, since it uses less digits than its factorization.

249239628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 249239628 is about 15787.3249158938. The cubic root of 249239628 is about 629.3212038872.

The spelling of 249239628 in words is "two hundred forty-nine million, two hundred thirty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 79 93 99 124 132 158 186 198 237 257 279 316 341 372 396 474 514 558 682 711 771 869 948 1023 1028 1116 1364 1422 1542 1738 2046 2313 2449 2607 2827 2844 3069 3084 3476 4092 4626 4898 5214 5654 6138 7347 7821 7967 8481 9252 9796 10428 11308 12276 14694 15642 15934 16962 20303 22041 23901 25443 26939 29388 31284 31868 33924 40606 44082 47802 50886 53878 60909 71703 80817 81212 87637 88164 95604 101772 107756 121818 143406 161634 175274 182727 223333 242451 243636 262911 286812 323268 350548 365454 446666 484902 525822 629393 669999 730908 788733 893332 969804 1051644 1258786 1339998 1577466 1888179 2009997 2517572 2679996 3154932 3776358 4019994 5664537 6923323 7552716 8039988 11329074 13846646 20769969 22658148 27693292 41539938 62309907 83079876 124619814 249239628