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2479393980 = 22325719103567
BaseRepresentation
bin1001001111001000…
…1000110010111100
320101210102021010200
42103302020302330
520034211101410
61050010003500
7115304333610
oct22362106274
96353367120
102479393980
11106260a438
12592416590
1330689623b
14197409340
15e7a0a3c0
hex93c88cbc

2479393980 has 144 divisors (see below), whose sum is σ = 9047700480. Its totient is φ = 536886144.

The previous prime is 2479393967. The next prime is 2479394003. The reversal of 2479393980 is 893939742.

2479393980 is a `hidden beast` number, since 2 + 479 + 3 + 93 + 9 + 80 = 666.

It is a super-2 number, since 2×24793939802 = 12294789016120480800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27844 + ... + 75723.

Almost surely, 22479393980 is an apocalyptic number.

2479393980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2479393980 is an abundant number, since it is smaller than the sum of its proper divisors (6568306500).

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

2479393980 is a wasteful number, since it uses less digits than its factorization.

2479393980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103608 (or 103603 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 2479393980 is about 49793.5134329764. The cubic root of 2479393980 is about 1353.4696265355.

The spelling of 2479393980 in words is "two billion, four hundred seventy-nine million, three hundred ninety-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 103567 207134 310701 414268 517835 621402 724969 932103 1035670 1242804 1449938 1553505 1864206 1967773 2071340 2174907 2899876 3107010 3624845 3728412 3935546 4349814 4660515 5903319 6214020 6524721 7249690 7871092 8699628 9321030 9838865 10874535 11806638 13049442 13774411 14499380 17709957 18642060 19677730 21749070 23613276 26098884 27548822 29516595 32623605 35419914 39355460 41323233 43498140 55097644 59033190 65247210 68872055 70839828 82646466 88549785 118066380 123969699 130494420 137744110 165292932 177099570 206616165 247939398 275488220 354199140 413232330 495878796 619848495 826464660 1239696990 2479393980