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1561734272 = 27724992
BaseRepresentation
bin101110100010110…
…0010110010000000
311000211200022200002
41131011202302000
511144300444042
6414545215132
753462344100
oct13505426200
94024608602
101561734272
1173161608a
123770314a8
131bb728727
1410b5b3200
1592191132
hex5d162c80

1561734272 has 72 divisors (see below), whose sum is σ = 3626497035. Its totient is φ = 667973376.

The previous prime is 1561734271. The next prime is 1561734301. The reversal of 1561734272 is 2724371651.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 780867136 + 780867136 = 27944^2 + 27944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=27944.

It is not an unprimeable number, because it can be changed into a prime (1561734271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3129479 + ... + 3129977.

Almost surely, 21561734272 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 1561734272

1561734272 is an abundant number, since it is smaller than the sum of its proper divisors (2064762763).

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

1561734272 is an frugal number, since it uses more digits than its factorization.

1561734272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 508 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 1561734272 is about 39518.7837869538. The cubic root of 1561734272 is about 1160.2076203878.

The spelling of 1561734272 in words is "one billion, five hundred sixty-one million, seven hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 499 784 896 998 1568 1996 3136 3493 3992 6272 6986 7984 13972 15968 24451 27944 31936 48902 55888 63872 97804 111776 195608 223552 249001 391216 447104 498002 782432 996004 1564864 1743007 1992008 3129728 3486014 3984016 6972028 7968032 12201049 13944056 15936064 24402098 27888112 31872128 48804196 55776224 97608392 111552448 195216784 223104896 390433568 780867136 1561734272