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273252276 = 2232114311601
BaseRepresentation
bin10000010010010…
…111111110110100
3201001011122122200
4100102113332310
51024423033101
643040424500
76525414603
oct2022277664
9631148580
10273252276
11130275530
1277618130
13447c424b
142840da3a
1518ec8986
hex10497fb4

273252276 has 72 divisors (see below), whose sum is σ = 755733888. Its totient is φ = 82560000.

The previous prime is 273252269. The next prime is 273252277. The reversal of 273252276 is 672252372.

273252276 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 273252276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273252277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169876 + ... + 171476.

It is an arithmetic number, because the mean of its divisors is an integer number (10496304).

Almost surely, 2273252276 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 273252276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377866944).

273252276 is an abundant number, since it is smaller than the sum of its proper divisors (482481612).

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

273252276 is a wasteful number, since it uses less digits than its factorization.

273252276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2048 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 273252276 is about 16530.3440980519. The cubic root of 273252276 is about 648.9151735085.

The spelling of 273252276 in words is "two hundred seventy-three million, two hundred fifty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 431 862 1293 1601 1724 2586 3202 3879 4741 4803 5172 6404 7758 9482 9606 14223 14409 15516 17611 18964 19212 28446 28818 35222 42669 52833 56892 57636 70444 85338 105666 158499 170676 211332 316998 633996 690031 1380062 2070093 2760124 4140186 6210279 7590341 8280372 12420558 15180682 22771023 24841116 30361364 45542046 68313069 91084092 136626138 273252276