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145782672 = 2437433877
BaseRepresentation
bin10001011000001…
…11011110010000
3101011022112020020
420230013132100
5244310021142
622244343440
73420063240
oct1054073620
9334275206
10145782672
1175321752
12409a4b80
1324283449
141550bb20
15cbe9cec
hex8b07790

145782672 has 40 divisors (see below), whose sum is σ = 430406976. Its totient is φ = 41652096.

The previous prime is 145782653. The next prime is 145782683. The reversal of 145782672 is 276287541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216603 + ... + 217274.

Almost surely, 2145782672 is an apocalyptic number.

145782672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145782672 is an abundant number, since it is smaller than the sum of its proper divisors (284624304).

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

145782672 is a wasteful number, since it uses less digits than its factorization.

145782672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433895 (or 433889 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 145782672 is about 12074.0495278096. The cubic root of 145782672 is about 526.3023412788.

The spelling of 145782672 in words is "one hundred forty-five million, seven hundred eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 433877 867754 1301631 1735508 2603262 3037139 3471016 5206524 6074278 6942032 9111417 10413048 12148556 18222834 20826096 24297112 36445668 48594224 72891336 145782672