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287549052 = 223723713217
BaseRepresentation
bin10001001000111…
…010011001111100
3202001002000010220
4101020322121330
51042103032202
644311101340
710061061300
oct2110723174
9661060126
10287549052
1113834a94a
1280371850
134775b78b
142a291d00
151a39eabc
hex1123a67c

287549052 has 72 divisors (see below), whose sum is σ = 801645264. Its totient is φ = 79930368.

The previous prime is 287549047. The next prime is 287549063. The reversal of 287549052 is 250945782.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 287548995 and 287549013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15148 + ... + 28364.

It is an arithmetic number, because the mean of its divisors is an integer number (11133962).

Almost surely, 2287549052 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 287549052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400822632).

287549052 is an abundant number, since it is smaller than the sum of its proper divisors (514096212).

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

287549052 is a wasteful number, since it uses less digits than its factorization.

287549052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13275 (or 13266 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 287549052 is about 16957.2713606877. The cubic root of 287549052 is about 660.0405943810.

The spelling of 287549052 in words is "two hundred eighty-seven million, five hundred forty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1813 3108 3626 5439 7252 10878 13217 21756 26434 39651 52868 79302 92519 158604 185038 277557 370076 489029 555114 647633 978058 1110228 1295266 1467087 1942899 1956116 2590532 2934174 3423203 3885798 5868348 6846406 7771596 10269609 13692812 20539218 23962421 41078436 47924842 71887263 95849684 143774526 287549052