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5984025504 = 2531071314447
BaseRepresentation
bin1011001001010110…
…01111101110100000
3120110000222222210020
411210223033232200
544223402304004
62425442233440
7301201243332
oct54453175640
916400888706
105984025504
1125a090aa26
1211b0055880
137449949c2
1440aa51452
1525052e8d9
hex164acfba0

5984025504 has 96 divisors (see below), whose sum is σ = 15979493376. Its totient is φ = 1960508160.

The previous prime is 5984025491. The next prime is 5984025533. The reversal of 5984025504 is 4055204895.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×59840255042 = 71617122465044908032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1343409 + ... + 1347855.

It is an arithmetic number, because the mean of its divisors is an integer number (166453056).

Almost surely, 25984025504 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 5984025504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7989746688).

5984025504 is an abundant number, since it is smaller than the sum of its proper divisors (9995467872).

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

5984025504 is a wasteful number, since it uses less digits than its factorization.

5984025504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 5984025504 is about 77356.4832706348. The cubic root of 5984025504 is about 1815.5065158886.

The spelling of 5984025504 in words is "five billion, nine hundred eighty-four million, twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 131 214 262 321 393 428 524 642 786 856 1048 1284 1572 1712 2096 2568 3144 3424 4192 4447 5136 6288 8894 10272 12576 13341 14017 17788 26682 28034 35576 42051 53364 56068 71152 84102 106728 112136 142304 168204 213456 224272 336408 426912 448544 475829 582557 672816 951658 1165114 1345632 1427487 1747671 1903316 2330228 2854974 3495342 3806632 4660456 5709948 6990684 7613264 9320912 11419896 13981368 15226528 18641824 22839792 27962736 45679584 55925472 62333599 124667198 187000797 249334396 374001594 498668792 748003188 997337584 1496006376 1994675168 2992012752 5984025504