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1534442464 = 25314732911
BaseRepresentation
bin101101101110101…
…1011101111100000
310221221022202100101
41123131123233200
511120304124324
6412132232144
753011355122
oct13335335740
93857282311
101534442464
11718175375
12369a6b654
131b5b91329
14107b0b212
158ea9e944
hex5b75bbe0

1534442464 has 48 divisors (see below), whose sum is σ = 3184828416. Its totient is φ = 726652800.

The previous prime is 1534442411. The next prime is 1534442471. The reversal of 1534442464 is 4642444351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30169 + ... + 63079.

It is an arithmetic number, because the mean of its divisors is an integer number (66350592).

Almost surely, 21534442464 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 1534442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592414208).

1534442464 is an abundant number, since it is smaller than the sum of its proper divisors (1650385952).

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

1534442464 is a wasteful number, since it uses less digits than its factorization.

1534442464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32999 (or 32991 counting only the distinct ones).

The product of its digits is 184320, while the sum is 37.

The square root of 1534442464 is about 39171.9601756154. The cubic root of 1534442464 is about 1153.4095320552.

The spelling of 1534442464 in words is "one billion, five hundred thirty-four million, four hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 47 62 94 124 188 248 376 496 752 992 1457 1504 2914 5828 11656 23312 32911 46624 65822 131644 263288 526576 1020241 1053152 1546817 2040482 3093634 4080964 6187268 8161928 12374536 16323856 24749072 32647712 47951327 49498144 95902654 191805308 383610616 767221232 1534442464