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145411776 = 2632376823
BaseRepresentation
bin10001010101011…
…00111011000000
3101010121200110100
420222230323000
5244211134101
622232402400
73413660016
oct1052547300
9333550410
10145411776
1175099024
1240846400
1324183693
14154528b6
15cb74e86
hex8aacec0

145411776 has 84 divisors (see below), whose sum is σ = 428124112. Its totient is φ = 47153664.

The previous prime is 145411759. The next prime is 145411781. The reversal of 145411776 is 677114541.

It is a super-2 number, since 2×1454117762 = 42289169198948352, which contains 22 as substring.

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 145411776.

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, 17901 + ... + 24723.

Almost surely, 2145411776 is an apocalyptic number.

145411776 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 145411776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214062056).

145411776 is an abundant number, since it is smaller than the sum of its proper divisors (282712336).

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

145411776 is a wasteful number, since it uses less digits than its factorization.

145411776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6865 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 145411776 is about 12058.6805248336. The cubic root of 145411776 is about 525.8556278972.

The spelling of 145411776 in words is "one hundred forty-five million, four hundred eleven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 6823 7104 10656 13646 20469 21312 27292 40938 54584 61407 81876 109168 122814 163752 218336 245628 252451 327504 436672 491256 504902 655008 757353 982512 1009804 1310016 1514706 1965024 2019608 2272059 3029412 3930048 4039216 4544118 6058824 8078432 9088236 12117648 16156864 18176472 24235296 36352944 48470592 72705888 145411776