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145953252 = 2234450473
BaseRepresentation
bin10001011001100…
…01000111100100
3101011122012020000
420230301013210
5244331001002
622252141300
73421403454
oct1054610744
9334565200
10145953252
1175428925
1240a67830
1324312c93
1415553d64
15cc3061c
hex8b311e4

145953252 has 30 divisors (see below), whose sum is σ = 381551478. Its totient is φ = 48650976.

The previous prime is 145953251. The next prime is 145953263. The reversal of 145953252 is 252359541.

It is a happy number.

145953252 is a `hidden beast` number, since 14 + 595 + 3 + 2 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86601636 + 59351616 = 9306^2 + 7704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145953251) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 224913 + ... + 225560.

Almost surely, 2145953252 is an apocalyptic number.

145953252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145953252 is an abundant number, since it is smaller than the sum of its proper divisors (235598226).

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

145953252 is a wasteful number, since it uses less digits than its factorization.

145953252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450489 (or 450478 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 145953252 is about 12081.1113727173. Note that the first 3 decimals coincide. The cubic root of 145953252 is about 526.5075363569.

The spelling of 145953252 in words is "one hundred forty-five million, nine hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 450473 900946 1351419 1801892 2702838 4054257 5405676 8108514 12162771 16217028 24325542 36488313 48651084 72976626 145953252