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145777404 = 223232711949
BaseRepresentation
bin10001011000001…
…10001011111100
3101011022021000010
420230012023330
5244304334104
622244303220
73420042003
oct1054061374
9334267003
10145777404
11753187a3
12409a1b10
1324280c26
1415509c3a
15cbe8489
hex8b062fc

145777404 has 48 divisors (see below), whose sum is σ = 356428800. Its totient is φ = 46284480.

The previous prime is 145777369. The next prime is 145777451. The reversal of 145777404 is 404777541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73822 + ... + 75770.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2145777404 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 145777404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

145777404 is an abundant number, since it is smaller than the sum of its proper divisors (210651396).

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

145777404 is a wasteful number, since it uses less digits than its factorization.

145777404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 39.

The square root of 145777404 is about 12073.8313720211. The cubic root of 145777404 is about 526.2960017185.

The spelling of 145777404 in words is "one hundred forty-five million, seven hundred seventy-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 271 276 542 813 1084 1626 1949 3252 3898 5847 6233 7796 11694 12466 18699 23388 24932 37398 44827 74796 89654 134481 179308 268962 528179 537924 1056358 1584537 2112716 3169074 6338148 12148117 24296234 36444351 48592468 72888702 145777404