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145411008 = 2631794231
BaseRepresentation
bin10001010101011…
…00101111000000
3101010121122101220
420222230233000
5244211123013
622232355040
73413654541
oct1052545700
9333548356
10145411008
1175098496
1240845a80
1324183222
14154524c8
15cb74b23
hex8aacbc0

145411008 has 56 divisors (see below), whose sum is σ = 386974080. Its totient is φ = 48188160.

The previous prime is 145411003. The next prime is 145411027. The reversal of 145411008 is 800114541.

It is a super-2 number, since 2×1454110082 = 42288722495152128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145411001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32253 + ... + 36483.

Almost surely, 2145411008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145411008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193487040).

145411008 is an abundant number, since it is smaller than the sum of its proper divisors (241563072).

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

145411008 is a wasteful number, since it uses less digits than its factorization.

145411008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 145411008 is about 12058.6486805114. The cubic root of 145411008 is about 525.8547021175.

Adding to 145411008 its reverse (800114541), we get a palindrome (945525549).

The spelling of 145411008 in words is "one hundred forty-five million, four hundred eleven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1432 2148 2864 4231 4296 5728 8462 8592 11456 12693 16924 17184 25386 33848 34368 50772 67696 101544 135392 203088 270784 406176 757349 812352 1514698 2272047 3029396 4544094 6058792 9088188 12117584 18176376 24235168 36352752 48470336 72705504 145411008