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145692450 = 232525692
BaseRepresentation
bin10001010111100…
…01011100100010
3101011010221110200
420223301130202
5244244124300
622242410030
73416236221
oct1053613442
9334127420
10145692450
117526a992
1240960916
1324251367
14154c6cb8
15cbcd200
hex8af1722

145692450 has 54 divisors (see below), whose sum is σ = 392116179. Its totient is φ = 38783040.

The previous prime is 145692439. The next prime is 145692457. The reversal of 145692450 is 54296541.

145692450 is a `hidden beast` number, since 145 + 69 + 2 + 450 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 10830681 + 134861769 = 3291^2 + 11613^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8535.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145692457) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 255766 + ... + 256334.

Almost surely, 2145692450 is an apocalyptic number.

145692450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145692450

145692450 is an abundant number, since it is smaller than the sum of its proper divisors (246423729).

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

145692450 is an equidigital number, since it uses as much as digits as its factorization.

145692450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 145692450 is about 12070.3127548544. The cubic root of 145692450 is about 526.1937461850.

The spelling of 145692450 in words is "one hundred forty-five million, six hundred ninety-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 569 1138 1707 2845 3414 5121 5690 8535 10242 14225 17070 25605 28450 42675 51210 85350 128025 256050 323761 647522 971283 1618805 1942566 2913849 3237610 4856415 5827698 8094025 9712830 14569245 16188050 24282075 29138490 48564150 72846225 145692450