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145808736 = 2531979939
BaseRepresentation
bin10001011000011…
…01110101100000
3101011100211222120
420230031311200
5244311334421
622245104240
73420232233
oct1054156540
9334324876
10145808736
117533a297
12409b8080
1324292278
141551741a
15cc028c6
hex8b0dd60

145808736 has 48 divisors (see below), whose sum is σ = 402897600. Its totient is φ = 46044288.

The previous prime is 145808639. The next prime is 145808737. The reversal of 145808736 is 637808541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145808737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38146 + ... + 41793.

It is an arithmetic number, because the mean of its divisors is an integer number (8393700).

Almost surely, 2145808736 is an apocalyptic number.

145808736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145808736 is an abundant number, since it is smaller than the sum of its proper divisors (257088864).

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

145808736 is a wasteful number, since it uses less digits than its factorization.

145808736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79971 (or 79963 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 145808736 is about 12075.1288191886. The cubic root of 145808736 is about 526.3337046926. Note that the first 3 decimals are identical.

The spelling of 145808736 in words is "one hundred forty-five million, eight hundred eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 79939 159878 239817 319756 479634 639512 959268 1279024 1518841 1918536 2558048 3037682 3837072 4556523 6075364 7674144 9113046 12150728 18226092 24301456 36452184 48602912 72904368 145808736