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5619490440 = 2335374432857
BaseRepresentation
bin1010011101111001…
…01001111010001000
3112111122001200200120
411032330221322020
543002042143230
62325341103240
7256153611024
oct51674517210
915448050616
105619490440
112424068383
121109b57b20
136b72bc995
143b447d384
1522d524310
hex14ef29e88

5619490440 has 128 divisors (see below), whose sum is σ = 17359263360. Its totient is φ = 1454229504.

The previous prime is 5619490391. The next prime is 5619490447. The reversal of 5619490440 is 440949165.

It is a junction number, because it is equal to n+sod(n) for n = 5619490392 and 5619490401.

It is not an unprimeable number, because it can be changed into a prime (5619490447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1965492 + ... + 1968348.

It is an arithmetic number, because the mean of its divisors is an integer number (135619245).

Almost surely, 25619490440 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 5619490440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679631680).

5619490440 is an abundant number, since it is smaller than the sum of its proper divisors (11739772920).

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

5619490440 is a wasteful number, since it uses less digits than its factorization.

5619490440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 5619490440 is about 74963.2606014440. The cubic root of 5619490440 is about 1777.8658131694.

The spelling of 5619490440 in words is "five billion, six hundred nineteen million, four hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 443 444 555 740 886 888 1110 1329 1480 1772 2215 2220 2658 2857 3544 4430 4440 5316 5714 6645 8571 8860 10632 11428 13290 14285 16391 17142 17720 22856 26580 28570 32782 34284 42855 49173 53160 57140 65564 68568 81955 85710 98346 105709 114280 131128 163910 171420 196692 211418 245865 317127 327820 342840 393384 422836 491730 528545 634254 655640 845672 983460 1057090 1265651 1268508 1585635 1966920 2114180 2531302 2537016 3171270 3796953 4228360 5062604 6328255 6342540 7593906 10125208 12656510 12685080 15187812 18984765 25313020 30375624 37969530 46829087 50626040 75939060 93658174 140487261 151878120 187316348 234145435 280974522 374632696 468290870 561949044 702436305 936581740 1123898088 1404872610 1873163480 2809745220 5619490440