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145891284 = 223711413851
BaseRepresentation
bin10001011001000…
…01111111010100
3101011112001012220
420230201333110
5244322010114
622250542340
73421025010
oct1054417724
9334461186
10145891284
1175396310
1240a379b0
13242c0a06
1415539540
15cc1c0a9
hex8b21fd4

145891284 has 96 divisors (see below), whose sum is σ = 434875392. Its totient is φ = 36960000.

The previous prime is 145891279. The next prime is 145891307. The reversal of 145891284 is 482198541.

145891284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35959 + ... + 39809.

It is an arithmetic number, because the mean of its divisors is an integer number (4529952).

Almost surely, 2145891284 is an apocalyptic number.

145891284 is a gapful number since it is divisible by the number (14) 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 145891284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217437696).

145891284 is an abundant number, since it is smaller than the sum of its proper divisors (288984108).

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

145891284 is a wasteful number, since it uses less digits than its factorization.

145891284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3915 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 145891284 is about 12078.5464357264. The cubic root of 145891284 is about 526.4330119524.

The spelling of 145891284 in words is "one hundred forty-five million, eight hundred ninety-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 66 77 82 84 123 132 154 164 231 246 287 308 451 462 492 574 861 902 924 1148 1353 1722 1804 2706 3157 3444 3851 5412 6314 7702 9471 11553 12628 15404 18942 23106 26957 37884 42361 46212 53914 80871 84722 107828 127083 157891 161742 169444 254166 296527 315782 323484 473673 508332 593054 631564 889581 947346 1105237 1186108 1736801 1779162 1894692 2210474 3315711 3473602 3558324 4420948 5210403 6631422 6947204 10420806 12157607 13262844 20841612 24315214 36472821 48630428 72945642 145891284