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145845408 = 2532952387
BaseRepresentation
bin10001011000101…
…10110010100000
3101011102201021210
420230112302200
5244314023113
622245550120
73420444162
oct1054266240
9334381253
10145845408
11753648a5
1240a15340
13242a5b77
1415526932
15cc0d6c3
hex8b16ca0

145845408 has 48 divisors (see below), whose sum is σ = 396053280. Its totient is φ = 46937856.

The previous prime is 145845407. The next prime is 145845409. The reversal of 145845408 is 804548541.

It is an interprime number because it is at equal distance from previous prime (145845407) and next prime (145845409).

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

It is not an unprimeable number, because it can be changed into a prime (145845407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23410 + ... + 28977.

It is an arithmetic number, because the mean of its divisors is an integer number (8251110).

Almost surely, 2145845408 is an apocalyptic number.

It is an amenable number.

145845408 is an abundant number, since it is smaller than the sum of its proper divisors (250207872).

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

145845408 is a wasteful number, since it uses less digits than its factorization.

145845408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52429 (or 52421 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 145845408 is about 12076.6472168396. The cubic root of 145845408 is about 526.3778266298.

The spelling of 145845408 in words is "one hundred forty-five million, eight hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 52387 104774 157161 209548 314322 419096 628644 838192 1257288 1519223 1676384 2514576 3038446 4557669 5029152 6076892 9115338 12153784 18230676 24307568 36461352 48615136 72922704 145845408