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152004608 = 211723461
BaseRepresentation
bin10010000111101…
…10100000000000
3101121000122010022
421003312200000
5302403121413
623025553012
73524006060
oct1103664000
9347018108
10152004608
1178891348
1242aa5768
1325651472
141628b3a0
15d528608
hex90f6800

152004608 has 96 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 62177280.

The previous prime is 152004607. The next prime is 152004659. The reversal of 152004608 is 806400251.

It is not an unprimeable number, because it can be changed into a prime (152004607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329498 + ... + 329958.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2152004608 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 152004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

152004608 is an abundant number, since it is smaller than the sum of its proper divisors (211238272).

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

152004608 is an equidigital number, since it uses as much as digits as its factorization.

152004608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 152004608 is about 12329.0148835988. The cubic root of 152004608 is about 533.6857226701.

Adding to 152004608 its reverse (806400251), we get a palindrome (958404859).

The spelling of 152004608 in words is "one hundred fifty-two million, four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 461 512 644 736 896 922 1024 1288 1472 1792 1844 2048 2576 2944 3227 3584 3688 5152 5888 6454 7168 7376 10304 10603 11776 12908 14336 14752 20608 21206 23552 25816 29504 41216 42412 47104 51632 59008 74221 82432 84824 103264 118016 148442 164864 169648 206528 236032 296884 329728 339296 413056 472064 593768 678592 826112 944128 1187536 1357184 1652224 2375072 2714368 3304448 4750144 5428736 6608896 9500288 10857472 19000576 21714944 38001152 76002304 152004608