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2049938496 = 26331279341
BaseRepresentation
bin111101000101111…
…1001010001000000
312021212022122222000
41322023321101000
513144241012441
6535225144000
7101541122034
oct17213712100
95255278860
102049938496
11962156151
1249262b000
13268910778
141563781c4
15bee792b6
hex7a2f9440

2049938496 has 112 divisors (see below), whose sum is σ = 6074542080. Its totient is φ = 677859840.

The previous prime is 2049938479. The next prime is 2049938507. The reversal of 2049938496 is 6948399402.

2049938496 is a `hidden beast` number, since 20 + 49 + 93 + 8 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214786 + ... + 224126.

Almost surely, 22049938496 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 2049938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037271040).

2049938496 is an abundant number, since it is smaller than the sum of its proper divisors (4024603584).

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

2049938496 is a wasteful number, since it uses less digits than its factorization.

2049938496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2049938496 is about 45276.2464875347. The cubic root of 2049938496 is about 1270.3213884783.

The spelling of 2049938496 in words is "two billion, forty-nine million, nine hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 144 192 216 254 288 381 432 508 576 762 864 1016 1143 1524 1728 2032 2286 3048 3429 4064 4572 6096 6858 8128 9144 9341 12192 13716 18288 18682 24384 27432 28023 36576 37364 54864 56046 73152 74728 84069 109728 112092 149456 168138 219456 224184 252207 298912 336276 448368 504414 597824 672552 896736 1008828 1186307 1345104 1793472 2017656 2372614 2690208 3558921 4035312 4745228 5380416 7117842 8070624 9490456 10676763 14235684 16141248 18980912 21353526 28471368 32030289 37961824 42707052 56942736 64060578 75923648 85414104 113885472 128121156 170828208 227770944 256242312 341656416 512484624 683312832 1024969248 2049938496