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2088469504 = 21011315981
BaseRepresentation
bin111110001111011…
…1000010000000000
312101112211020120101
41330132320100000
513234122011004
6543123052144
7102516461242
oct17436702000
95345736511
102088469504
11981983060
124a3511054
132738b1794
1415b528092
15c353aba4
hex7c7b8400

2088469504 has 88 divisors (see below), whose sum is σ = 4702139136. Its totient is φ = 918528000.

The previous prime is 2088469457. The next prime is 2088469507. The reversal of 2088469504 is 4059648802.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (2088469507) 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 7 ways as a sum of consecutive naturals, for example, 346194 + ... + 352174.

Almost surely, 22088469504 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 2088469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351069568).

2088469504 is an abundant number, since it is smaller than the sum of its proper divisors (2613669632).

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

2088469504 is a wasteful number, since it uses less digits than its factorization.

2088469504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6025 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 2088469504 is about 45699.7757543732. The cubic root of 2088469504 is about 1278.2310982510.

The spelling of 2088469504 in words is "two billion, eighty-eight million, four hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 992 1024 1364 1408 1984 2728 2816 3968 5456 5632 5981 7936 10912 11264 11962 15872 21824 23924 31744 43648 47848 65791 87296 95696 131582 174592 185411 191392 263164 349184 370822 382784 526328 741644 765568 1052656 1483288 1531136 2039521 2105312 2966576 3062272 4079042 4210624 5933152 6124544 8158084 8421248 11866304 16316168 16842496 23732608 32632336 33684992 47465216 65264672 67369984 94930432 130529344 189860864 261058688 522117376 1044234752 2088469504