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146561472 = 2632254447
BaseRepresentation
bin10001011110001…
…01100111000000
3101012210002112200
420233011213000
5300004431342
622313153200
73426515631
oct1057054700
9335702480
10146561472
1175803892
12410bb800
1324496a85
1415671888
15cd0094c
hex8bc59c0

146561472 has 42 divisors (see below), whose sum is σ = 420093648. Its totient is φ = 48853632.

The previous prime is 146561453. The next prime is 146561473. The reversal of 146561472 is 274165641.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146561473) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126648 + ... + 127799.

Almost surely, 2146561472 is an apocalyptic number.

146561472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146561472 is an abundant number, since it is smaller than the sum of its proper divisors (273532176).

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

146561472 is a wasteful number, since it uses less digits than its factorization.

146561472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254465 (or 254452 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 146561472 is about 12106.2575554958. The cubic root of 146561472 is about 527.2378811980.

The spelling of 146561472 in words is "one hundred forty-six million, five hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 254447 508894 763341 1017788 1526682 2035576 2290023 3053364 4071152 4580046 6106728 8142304 9160092 12213456 16284608 18320184 24426912 36640368 48853824 73280736 146561472