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5008753552 = 2411195359479
BaseRepresentation
bin1001010101000101…
…11000001110010000
3110221001212001011211
410222202320032100
540224220103202
62145002545504
7235056463015
oct45242701620
913831761154
105008753552
112140346750
12b79508294
1361a904cca
143572dd70c
151e4ad51d7
hex12a8b8390

5008753552 has 160 divisors (see below), whose sum is σ = 11570688000. Its totient is φ = 2075973120.

The previous prime is 5008753549. The next prime is 5008753559. The reversal of 5008753552 is 2553578005.

It is a happy number.

It is a super-2 number, since 2×50087535522 = 50175224289345233408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5008753559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10456449 + ... + 10456927.

It is an arithmetic number, because the mean of its divisors is an integer number (72316800).

Almost surely, 25008753552 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 5008753552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785344000).

5008753552 is an abundant number, since it is smaller than the sum of its proper divisors (6561934448).

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

5008753552 is a wasteful number, since it uses less digits than its factorization.

5008753552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 40.

The square root of 5008753552 is about 70772.5480112169. The cubic root of 5008753552 is about 1710.9732557943.

The spelling of 5008753552 in words is "five billion, eight million, seven hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 53 59 76 88 106 118 152 176 209 212 236 304 418 424 472 479 583 649 836 848 944 958 1007 1121 1166 1298 1672 1916 2014 2242 2332 2596 3127 3344 3832 4028 4484 4664 5192 5269 6254 7664 8056 8968 9101 9328 10384 10538 11077 12331 12508 16112 17936 18202 21076 22154 24662 25016 25387 28261 34397 36404 42152 44308 49324 50032 50774 56522 59413 68794 72808 84304 88616 98648 100111 101548 113044 118826 137588 145616 177232 197296 200222 203096 226088 237652 275176 279257 310871 400444 406192 452176 475304 482353 536959 550352 558514 621742 653543 800888 950608 964706 1073918 1117028 1243484 1307086 1497833 1601776 1929412 2147836 2234056 2486968 2614172 2995666 3858824 4295672 4468112 4973936 5228344 5305883 5906549 5991332 7717648 8591344 10456688 10611766 11813098 11982664 16476163 21223532 23626196 23965328 28458827 32952326 42447064 47252392 56917654 65904652 84894128 94504784 113835308 131809304 227670616 263618608 313047097 455341232 626094194 1252188388 2504376776 5008753552