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146039472 = 24321953377
BaseRepresentation
bin10001011010001…
…10001010110000
3101011210120111100
420231012022300
5244341230342
622254044400
73422213025
oct1055061260
9334716440
10146039472
1175487687
1240aa9700
13243432b7
141557754c
15cc4ae4c
hex8b462b0

146039472 has 60 divisors (see below), whose sum is σ = 430226680. Its totient is φ = 46116864.

The previous prime is 146039471. The next prime is 146039473. The reversal of 146039472 is 274930641.

146039472 is a `hidden beast` number, since 1 + 4 + 603 + 9 + 47 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (146039471) and next prime (146039473).

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 (146039471) 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 11 ways as a sum of consecutive naturals, for example, 23953 + ... + 29424.

Almost surely, 2146039472 is an apocalyptic number.

146039472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146039472 is an abundant number, since it is smaller than the sum of its proper divisors (284187208).

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

146039472 is a wasteful number, since it uses less digits than its factorization.

146039472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53410 (or 53401 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 146039472 is about 12084.6792261938. The cubic root of 146039472 is about 526.6111917926.

The spelling of 146039472 in words is "one hundred forty-six million, thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 53377 106754 160131 213508 320262 427016 480393 640524 854032 960786 1014163 1281048 1921572 2028326 2562096 3042489 3843144 4056652 6084978 7686288 8113304 9127467 12169956 16226608 18254934 24339912 36509868 48679824 73019736 146039472