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2090479428 = 22353721571
BaseRepresentation
bin111110010011010…
…0010111101000100
312101200121100200000
41330212202331010
513240130320203
6543234121300
7102542532132
oct17446427504
95350540600
102090479428
11983026154
124a4120230
1327413659b
1415b8cc752
15c37d64a3
hex7c9a2f44

2090479428 has 108 divisors (see below), whose sum is σ = 5635676592. Its totient is φ = 677561760.

The previous prime is 2090479421. The next prime is 2090479481. The reversal of 2090479428 is 8249740902.

2090479428 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (2090479421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1329883 + ... + 1331453.

Almost surely, 22090479428 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 2090479428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817838296).

2090479428 is an abundant number, since it is smaller than the sum of its proper divisors (3545197164).

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

2090479428 is a wasteful number, since it uses less digits than its factorization.

2090479428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2090479428 is about 45721.7609897082. The cubic root of 2090479428 is about 1278.6410194274.

The spelling of 2090479428 in words is "two billion, ninety million, four hundred seventy-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 972 999 1332 1369 1571 1998 2738 2997 3142 3996 4107 4713 5476 5994 6284 8214 8991 9426 11988 12321 14139 16428 17982 18852 24642 28278 35964 36963 42417 49284 56556 58127 73926 84834 110889 116254 127251 147852 169668 174381 221778 232508 254502 332667 348762 381753 443556 509004 523143 665334 697524 763506 1046286 1330668 1527012 1569429 2092572 2150699 3138858 4301398 4708287 6277716 6452097 8602796 9416574 12904194 14124861 18833148 19356291 25808388 28249722 38712582 56499444 58068873 77425164 116137746 174206619 232275492 348413238 522619857 696826476 1045239714 2090479428