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145951056 = 24323113259
BaseRepresentation
bin10001011001100…
…00100101010000
3101011122002012200
420230300211100
5244330413211
622252123200
73421364166
oct1054604520
9334562180
10145951056
1175427209
1240a66500
1324311c94
1415553236
15cc2eb56
hex8b30950

145951056 has 60 divisors (see below), whose sum is σ = 409899360. Its totient is φ = 48479040.

The previous prime is 145951049. The next prime is 145951063. The reversal of 145951056 is 650159541.

145951056 is a `hidden beast` number, since 1 + 4 + 595 + 10 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (145951049) and next prime (145951063).

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

It is a self number, because there is not a number n which added to its sum of digits gives 145951056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43155 + ... + 46413.

It is an arithmetic number, because the mean of its divisors is an integer number (6831656).

Almost surely, 2145951056 is an apocalyptic number.

145951056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145951056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204949680).

145951056 is an abundant number, since it is smaller than the sum of its proper divisors (263948304).

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

145951056 is a wasteful number, since it uses less digits than its factorization.

145951056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 145951056 is about 12081.0204866973. The cubic root of 145951056 is about 526.5048957481.

It can be divided in two parts, 14595 and 1056, that added together give a palindrome (15651).

The spelling of 145951056 in words is "one hundred forty-five million, nine hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 311 622 933 1244 1866 2488 2799 3259 3732 4976 5598 6518 7464 9777 11196 13036 14928 19554 22392 26072 29331 39108 44784 52144 58662 78216 117324 156432 234648 469296 1013549 2027098 3040647 4054196 6081294 8108392 9121941 12162588 16216784 18243882 24325176 36487764 48650352 72975528 145951056