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161461456 = 2413776257
BaseRepresentation
bin10011001111110…
…11010011010000
3102020211002110221
421213323103100
5312313231311
624004402424
74000254052
oct1147732320
9366732427
10161461456
1183160422
12460a6414
13275b2a30
141762d8d2
15e295671
hex99fb4d0

161461456 has 20 divisors (see below), whose sum is σ = 336895972. Its totient is φ = 74520576.

The previous prime is 161461439. The next prime is 161461457. The reversal of 161461456 is 654164161.

161461456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31136400 + 130325056 = 5580^2 + 11416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161461457) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 387921 + ... + 388336.

Almost surely, 2161461456 is an apocalyptic number.

161461456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

161461456 is an abundant number, since it is smaller than the sum of its proper divisors (175434516).

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

161461456 is a wasteful number, since it uses less digits than its factorization.

161461456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776278 (or 776272 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 161461456 is about 12706.7484432486. The cubic root of 161461456 is about 544.5314335283.

The spelling of 161461456 in words is "one hundred sixty-one million, four hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 776257 1552514 3105028 6210056 10091341 12420112 20182682 40365364 80730728 161461456