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152303744 = 2731131293
BaseRepresentation
bin10010001001111…
…11100010000000
3101121120211110102
421010333202000
5302442204434
623040221532
73526363145
oct1104774200
9347524412
10152303744
1178a7606a
124300a8a8
1325727678
14163283cc
15d58707e
hex913f880

152303744 has 64 divisors (see below), whose sum is σ = 316673280. Its totient is φ = 72883200.

The previous prime is 152303707. The next prime is 152303759. The reversal of 152303744 is 447303251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 519662 + ... + 519954.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2152303744 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 152303744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158336640).

152303744 is an abundant number, since it is smaller than the sum of its proper divisors (164369536).

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

152303744 is a wasteful number, since it uses less digits than its factorization.

152303744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 152303744 is about 12341.1403038779. The cubic root of 152303744 is about 534.0355804915.

Adding to 152303744 its reverse (447303251), we get a palindrome (599606995).

The spelling of 152303744 in words is "one hundred fifty-two million, three hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 131 248 262 293 496 524 586 992 1048 1172 1984 2096 2344 3968 4061 4192 4688 8122 8384 9083 9376 16244 16768 18166 18752 32488 36332 37504 38383 64976 72664 76766 129952 145328 153532 259904 290656 307064 519808 581312 614128 1162624 1189873 1228256 2379746 2456512 4759492 4913024 9518984 19037968 38075936 76151872 152303744