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147074048 = 2101121187
BaseRepresentation
bin10001100010000…
…10110000000000
3101020202010122222
420301002300000
5300122332143
622332150212
73434052212
oct1061026000
9336663588
10147074048
1176023a00
1241308368
1324616184
14157665b2
15cda2768
hex8c42c00

147074048 has 66 divisors (see below), whose sum is σ = 323434188. Its totient is φ = 66795520.

The previous prime is 147073967. The next prime is 147074069. The reversal of 147074048 is 840470741.

It is a junction number, because it is equal to n+sod(n) for n = 147073999 and 147074017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123311 + ... + 124497.

It is an arithmetic number, because the mean of its divisors is an integer number (4900518).

Almost surely, 2147074048 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 147074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161717094).

147074048 is an abundant number, since it is smaller than the sum of its proper divisors (176360140).

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

147074048 is a wasteful number, since it uses less digits than its factorization.

147074048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 147074048 is about 12127.4089565744. The cubic root of 147074048 is about 527.8518102645.

The spelling of 147074048 in words is "one hundred forty-seven million, seventy-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1187 1408 1936 2374 2816 3872 4748 5632 7744 9496 11264 13057 15488 18992 26114 30976 37984 52228 61952 75968 104456 123904 143627 151936 208912 287254 303872 417824 574508 607744 835648 1149016 1215488 1671296 2298032 3342592 4596064 6685184 9192128 13370368 18384256 36768512 73537024 147074048