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5519949408 = 253260131891
BaseRepresentation
bin1010010010000001…
…11011111001100000
3112020200202111001200
411021000323321200
542301101340113
62311423401200
7253534536651
oct51100737140
915220674050
105519949408
11238295a766
1210a0753200
1369c7aa06c
143a516b528
15224910873
hex14903be60

5519949408 has 72 divisors (see below), whose sum is σ = 15723967896. Its totient is φ = 1836864000.

The previous prime is 5519949403. The next prime is 5519949437. The reversal of 5519949408 is 8049499155.

5519949408 is a `hidden beast` number, since 5 + 5 + 199 + 49 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5519949403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157143 + ... + 189033.

It is an arithmetic number, because the mean of its divisors is an integer number (218388443).

Almost surely, 25519949408 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 5519949408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861983948).

5519949408 is an abundant number, since it is smaller than the sum of its proper divisors (10204018488).

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

5519949408 is a wasteful number, since it uses less digits than its factorization.

5519949408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32508 (or 32497 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 5519949408 is about 74296.3620105318. The cubic root of 5519949408 is about 1767.3057852005.

The spelling of 5519949408 in words is "five billion, five hundred nineteen million, nine hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 601 1202 1803 2404 3606 4808 5409 7212 9616 10818 14424 19232 21636 28848 31891 43272 57696 63782 86544 95673 127564 173088 191346 255128 287019 382692 510256 574038 765384 1020512 1148076 1530768 2296152 3061536 4592304 9184608 19166491 38332982 57499473 76665964 114998946 153331928 172498419 229997892 306663856 344996838 459995784 613327712 689993676 919991568 1379987352 1839983136 2759974704 5519949408