Search a number
-
+
272625102 = 2353715161
BaseRepresentation
bin10000001111111…
…110110111001110
3200222222210100000
4100033332313032
51024243000402
643015145130
76520163241
oct2017766716
9628883300
10272625102
1112a987302
12773751a6
1344634939
14282c9258
1518e02c1c
hex103fedce

272625102 has 48 divisors (see below), whose sum is σ = 629162352. Its totient is φ = 88413120.

The previous prime is 272625083. The next prime is 272625103. The reversal of 272625102 is 201526272.

272625102 is a `hidden beast` number, since 27 + 2 + 625 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272625103) 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, 10402 + ... + 25562.

It is an arithmetic number, because the mean of its divisors is an integer number (13107549).

Almost surely, 2272625102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272625102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314581176).

272625102 is an abundant number, since it is smaller than the sum of its proper divisors (356537250).

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

272625102 is a wasteful number, since it uses less digits than its factorization.

272625102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15215 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 272625102 is about 16511.3628147406. The cubic root of 272625102 is about 648.4183255649.

The spelling of 272625102 in words is "two hundred seventy-two million, six hundred twenty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 999 1998 2997 5994 8991 15161 17982 30322 45483 90966 136449 272898 409347 560957 818694 1121914 1228041 1682871 2456082 3365742 3684123 5048613 7368246 10097226 15145839 30291678 45437517 90875034 136312551 272625102