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273904072 = 231329197461
BaseRepresentation
bin10000010100110…
…111000111001000
3201002101202202021
4100110313013020
51030104412242
643102414224
76534101101
oct2024670710
9632352667
10273904072
11130680202
1277891374
1344991b20
142853d3a8
15190a6b67
hex105371c8

273904072 has 64 divisors (see below), whose sum is σ = 576298800. Its totient is φ = 121175040.

The previous prime is 273904063. The next prime is 273904073. The reversal of 273904072 is 270409372.

It can be written as a sum of positive squares in 8 ways, for example, as 149670756 + 124233316 = 12234^2 + 11146^2 .

It is not an unprimeable number, because it can be changed into a prime (273904073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593922 + ... + 594382.

Almost surely, 2273904072 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 273904072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288149400).

273904072 is an abundant number, since it is smaller than the sum of its proper divisors (302394728).

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

273904072 is a wasteful number, since it uses less digits than its factorization.

273904072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 273904072 is about 16550.0474923790. The cubic root of 273904072 is about 649.4307220778.

The spelling of 273904072 in words is "two hundred seventy-three million, nine hundred four thousand, seventy-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 197 232 377 394 461 754 788 922 1508 1576 1844 2561 3016 3688 5122 5713 5993 10244 11426 11986 13369 20488 22852 23972 26738 45704 47944 53476 74269 90817 106952 148538 173797 181634 297076 347594 363268 594152 695188 726536 1180621 1390376 2361242 2633693 4722484 5267386 9444968 10534772 21069544 34238009 68476018 136952036 273904072