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145829776 = 2430192
BaseRepresentation
bin10001011000100…
…10111110010000
3101011101220211211
420230102332100
5244313023101
622245345504
73420350461
oct1054227620
9334356754
10145829776
1175354084
1240a08294
132429ba11
1415520d68
15cc08c51
hex8b12f90

145829776 has 15 divisors (see below), whose sum is σ = 282638811. Its totient is φ = 72890736.

The previous prime is 145829771. The next prime is 145829843. The reversal of 145829776 is 677928541.

The square root of 145829776 is 12076.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145829771) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 46795 + ... + 49813.

Almost surely, 2145829776 is an apocalyptic number.

145829776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145829776 is the 12076-th square number.

It is an amenable number.

145829776 is a deficient number, since it is larger than the sum of its proper divisors (136809035).

145829776 is an frugal number, since it uses more digits than its factorization.

145829776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046 (or 3021 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The cubic root of 145829776 is about 526.3590198848.

Multiplying 145829776 by its sum of digits (49), we get a square (7145659024 = 845322).

It can be divided in two parts, 145 and 829776, that added together give a square (829921 = 9112).

The spelling of 145829776 in words is "one hundred forty-five million, eight hundred twenty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 3019 6038 12076 24152 48304 9114361 18228722 36457444 72914888 145829776