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145308048 = 24319283563
BaseRepresentation
bin10001010100100…
…11100110010000
3101010102102011120
420222103212100
5244144324143
622230242240
73413045424
oct1052234620
9333372146
10145308048
11750280a6
12407b6380
13241483c2
1415426b84
15cb54383
hex8a93990

145308048 has 80 divisors (see below), whose sum is σ = 397236480. Its totient is φ = 45643392.

The previous prime is 145308047. The next prime is 145308049. The reversal of 145308048 is 840803541.

It is an interprime number because it is at equal distance from previous prime (145308047) and next prime (145308049).

It is a super-2 number, since 2×1453080482 = 42228857627140608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145308041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257815 + ... + 258377.

It is an arithmetic number, because the mean of its divisors is an integer number (4965456).

Almost surely, 2145308048 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 145308048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198618240).

145308048 is an abundant number, since it is smaller than the sum of its proper divisors (251928432).

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

145308048 is a wasteful number, since it uses less digits than its factorization.

145308048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 145308048 is about 12054.3787894690. The cubic root of 145308048 is about 525.7305602465.

It can be divided in two parts, 14530 and 8048, that added together give a triangular number (22578 = T212).

The spelling of 145308048 in words is "one hundred forty-five million, three hundred eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 283 304 456 563 566 849 912 1126 1132 1689 1698 2252 2264 3378 3396 4504 4528 5377 6756 6792 9008 10697 10754 13512 13584 16131 21394 21508 27024 32091 32262 42788 43016 64182 64524 85576 86032 128364 129048 159329 171152 256728 258096 318658 477987 513456 637316 955974 1274632 1911948 2549264 3027251 3823896 6054502 7647792 9081753 12109004 18163506 24218008 36327012 48436016 72654024 145308048