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1272485052 = 22358271583
BaseRepresentation
bin100101111011000…
…1001010010111100
310021200101221100000
41023312021102330
510101224010202
6330133434300
743350641646
oct11366112274
93250357300
101272485052
115a3314943
122b619b990
13173823147
14c0ddb896
1576aa791c
hex4bd894bc

1272485052 has 72 divisors (see below), whose sum is σ = 3341834496. Its totient is φ = 423381168.

The previous prime is 1272485017. The next prime is 1272485059. The reversal of 1272485052 is 2505842721.

It is a happy number.

1272485052 is a `hidden beast` number, since 127 + 2 + 485 + 0 + 52 = 666.

1272485052 is digitally balanced in base 4, 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 junction number, because it is equal to n+sod(n) for n = 1272484998 and 1272485016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272485059) 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, 803053 + ... + 804635.

It is an arithmetic number, because the mean of its divisors is an integer number (46414368).

Almost surely, 21272485052 is an apocalyptic number.

1272485052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272485052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670917248).

1272485052 is an abundant number, since it is smaller than the sum of its proper divisors (2069349444).

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

1272485052 is a wasteful number, since it uses less digits than its factorization.

1272485052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1272485052 is about 35671.9084434797. The cubic root of 1272485052 is about 1083.6380092847.

The spelling of 1272485052 in words is "one billion, two hundred seventy-two million, four hundred eighty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 827 972 1583 1654 2481 3166 3308 4749 4962 6332 7443 9498 9924 14247 14886 18996 22329 28494 29772 42741 44658 56988 66987 85482 89316 128223 133974 170964 200961 256446 267948 384669 401922 512892 769338 803844 1309141 1538676 2618282 3927423 5236564 7854846 11782269 15709692 23564538 35346807 47129076 70693614 106040421 141387228 212080842 318121263 424161684 636242526 1272485052