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145483776 = 21134877
BaseRepresentation
bin10001010101111…
…10100000000000
3101010202100020000
420222332200000
5244220440101
622234120000
73414406644
oct1052764000
9333670200
10145483776
1175138129
1240880000
13241aa399
1415470c24
15cb8b486
hex8abe800

145483776 has 120 divisors (see below), whose sum is σ = 435044610. Its totient is φ = 48439296.

The previous prime is 145483729. The next prime is 145483799. The reversal of 145483776 is 677384541.

145483776 is a `hidden beast` number, since 1 + 4 + 548 + 37 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 43877376 = 10080^2 + 6624^2 .

Its product of digits (564480) is a multiple of the sum of its prime divisors (882).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165450 + ... + 166326.

Almost surely, 2145483776 is an apocalyptic number.

145483776 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 145483776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217522305).

145483776 is an abundant number, since it is smaller than the sum of its proper divisors (289560834).

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

145483776 is an frugal number, since it uses more digits than its factorization.

145483776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 882 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 145483776 is about 12061.6655566302. The cubic root of 145483776 is about 525.9424052752.

The spelling of 145483776 in words is "one hundred forty-five million, four hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 877 1024 1152 1296 1536 1728 1754 2048 2304 2592 2631 3072 3456 3508 4608 5184 5262 6144 6912 7016 7893 9216 10368 10524 13824 14032 15786 18432 20736 21048 23679 27648 28064 31572 41472 42096 47358 55296 56128 63144 71037 82944 84192 94716 112256 126288 142074 165888 168384 189432 224512 252576 284148 336768 378864 449024 505152 568296 673536 757728 898048 1010304 1136592 1347072 1515456 1796096 2020608 2273184 2694144 3030912 4041216 4546368 5388288 6061824 8082432 9092736 12123648 16164864 18185472 24247296 36370944 48494592 72741888 145483776