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2974992048 = 2432710727583
BaseRepresentation
bin1011000101010010…
…1100011010110000
321200022222020212200
42301110230122300
522043044221143
61211112223200
7133503005130
oct26124543260
97608866780
102974992048
11129733a616
126b039ab00
13385469832
14203176ac0
151262a41d3
hexb152c6b0

2974992048 has 120 divisors (see below), whose sum is σ = 9604528128. Its totient is φ = 842023296.

The previous prime is 2974992047. The next prime is 2974992049. The reversal of 2974992048 is 8402994792.

2974992048 is a `hidden beast` number, since 2 + 97 + 499 + 20 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (2974992047) and next prime (2974992049).

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 junction number, because it is equal to n+sod(n) for n = 2974991985 and 2974992003.

It is not an unprimeable number, because it can be changed into a prime (2974992043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94065 + ... + 121647.

Almost surely, 22974992048 is an apocalyptic number.

2974992048 is a gapful number since it is divisible by the number (28) 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 2974992048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802264064).

2974992048 is an abundant number, since it is smaller than the sum of its proper divisors (6629536080).

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

2974992048 is a wasteful number, since it uses less digits than its factorization.

2974992048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27711 (or 27702 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2974992048 is about 54543.4876772654. The cubic root of 2974992048 is about 1438.2308597856.

The spelling of 2974992048 in words is "two billion, nine hundred seventy-four million, nine hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 107 112 126 144 168 214 252 321 336 428 504 642 749 856 963 1008 1284 1498 1712 1926 2247 2568 2996 3852 4494 5136 5992 6741 7704 8988 11984 13482 15408 17976 26964 27583 35952 53928 55166 82749 107856 110332 165498 193081 220664 248247 330996 386162 441328 496494 579243 661992 772324 992988 1158486 1323984 1544648 1737729 1985976 2316972 2951381 3089296 3475458 3971952 4633944 5902762 6950916 8854143 9267888 11805524 13901832 17708286 20659667 23611048 26562429 27803664 35416572 41319334 47222096 53124858 61979001 70833144 82638668 106249716 123958002 141666288 165277336 185937003 212499432 247916004 330554672 371874006 424998864 495832008 743748012 991664016 1487496024 2974992048