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2948090496 = 273131734739
BaseRepresentation
bin1010111110111000…
…0100101010000000
321121110100111212220
42233232010222000
522014202343441
61204311451040
7133025233011
oct25756045200
97543314786
102948090496
11128313602a
126a3386a80
1337ca0ac60
141dd773008
15123c3d466
hexafb84a80

2948090496 has 128 divisors (see below), whose sum is σ = 8929569600. Its totient is φ = 853721088.

The previous prime is 2948090461. The next prime is 2948090507. The reversal of 2948090496 is 6940908492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 67495 + ... + 102233.

Almost surely, 22948090496 is an apocalyptic number.

2948090496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2948090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464784800).

2948090496 is an abundant number, since it is smaller than the sum of its proper divisors (5981479104).

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

2948090496 is a wasteful number, since it uses less digits than its factorization.

2948090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34786 (or 34774 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 2948090496 is about 54296.3212013484. The cubic root of 2948090496 is about 1433.8826293920.

The spelling of 2948090496 in words is "two billion, nine hundred forty-eight million, ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3536 4992 5304 6528 7072 10608 14144 21216 28288 34739 42432 69478 84864 104217 138956 208434 277912 416868 451607 555824 590563 833736 903214 1111648 1181126 1354821 1667472 1771689 1806428 2223296 2362252 2709642 3334944 3543378 3612856 4446592 4724504 5419284 6669888 7086756 7225712 7677319 9449008 10838568 13339776 14173512 14451424 15354638 18898016 21677136 23031957 28347024 28902848 30709276 37796032 43354272 46063914 56694048 57805696 61418552 75592064 86708544 92127828 113388096 122837104 173417088 184255656 226776192 245674208 368511312 491348416 737022624 982696832 1474045248 2948090496