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145674256 = 24721314293
BaseRepresentation
bin10001010111011…
…01000000010000
3101011010000111211
420223231000100
5244243034011
622242145504
73416132200
oct1053550020
9334100454
10145674256
1175258252
1240952294
1324245cb0
14154c0400
15cbc7b21
hex8aed010

145674256 has 60 divisors (see below), whose sum is σ = 353604972. Its totient is φ = 57625344.

The previous prime is 145674251. The next prime is 145674257. The reversal of 145674256 is 652476541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7376656 + 138297600 = 2716^2 + 11760^2 .

It is a super-2 number, since 2×1456742562 = 42441977722307072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145674251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3046 + ... + 17338.

Almost surely, 2145674256 is an apocalyptic number.

145674256 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 145674256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176802486).

145674256 is an abundant number, since it is smaller than the sum of its proper divisors (207930716).

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

145674256 is a wasteful number, since it uses less digits than its factorization.

145674256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328 (or 14315 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The square root of 145674256 is about 12069.5590640255. The cubic root of 145674256 is about 526.1718416695.

The spelling of 145674256 in words is "one hundred forty-five million, six hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 14293 28586 57172 100051 114344 185809 200102 228688 371618 400204 700357 743236 800408 1300663 1400714 1486472 1600816 2601326 2801428 2972944 5202652 5602856 9104641 10405304 11205712 18209282 20810608 36418564 72837128 145674256