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272203152 = 243131792437
BaseRepresentation
bin10000001110010…
…111110110010000
3200222012100112020
4100032113312100
51024141000102
643002131440
76513455124
oct2016276620
9628170466
10272203152
1112a719291
12771b0b80
1344517870
1428219584
1518d6cbbc
hex10397d90

272203152 has 80 divisors (see below), whose sum is σ = 761826240. Its totient is φ = 83252736.

The previous prime is 272203121. The next prime is 272203163. The reversal of 272203152 is 251302272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110478 + ... + 112914.

It is an arithmetic number, because the mean of its divisors is an integer number (9522828).

Almost surely, 2272203152 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 272203152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380913120).

272203152 is an abundant number, since it is smaller than the sum of its proper divisors (489623088).

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

272203152 is a wasteful number, since it uses less digits than its factorization.

272203152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 272203152 is about 16498.5803025594. The cubic root of 272203152 is about 648.0836273720.

The spelling of 272203152 in words is "two hundred seventy-two million, two hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 179 208 312 358 537 624 716 1074 1432 2148 2327 2437 2864 4296 4654 4874 6981 7311 8592 9308 9748 13962 14622 18616 19496 27924 29244 31681 37232 38992 55848 58488 63362 95043 111696 116976 126724 190086 253448 380172 436223 506896 760344 872446 1308669 1520688 1744892 2617338 3489784 5234676 5670899 6979568 10469352 11341798 17012697 20938704 22683596 34025394 45367192 68050788 90734384 136101576 272203152