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2974048992 = 253230733637
BaseRepresentation
bin1011000101000100…
…0110001011100000
321200021012100020200
42301101012023200
522042324031432
61211040105200
7133461666525
oct26121061340
97607170220
102974048992
111296856032
126b0005200
133851c9505
14202dad14c
15126169a7c
hexb14462e0

2974048992 has 72 divisors (see below), whose sum is σ = 8485252776. Its totient is φ = 988091136.

The previous prime is 2974048951. The next prime is 2974048993. The reversal of 2974048992 is 2998404792.

2974048992 is a `hidden beast` number, since 2 + 9 + 74 + 0 + 489 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2974048993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71598 + ... + 105234.

It is an arithmetic number, because the mean of its divisors is an integer number (117850733).

Almost surely, 22974048992 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 2974048992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242626388).

2974048992 is an abundant number, since it is smaller than the sum of its proper divisors (5511203784).

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

2974048992 is a wasteful number, since it uses less digits than its factorization.

2974048992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33960 (or 33949 counting only the distinct ones).

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

The square root of 2974048992 is about 54534.8420003212. The cubic root of 2974048992 is about 1438.0788733196.

The spelling of 2974048992 in words is "two billion, nine hundred seventy-four million, forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307 614 921 1228 1842 2456 2763 3684 4912 5526 7368 9824 11052 14736 22104 29472 33637 44208 67274 88416 100911 134548 201822 269096 302733 403644 538192 605466 807288 1076384 1210932 1614576 2421864 3229152 4843728 9687456 10326559 20653118 30979677 41306236 61959354 82612472 92939031 123918708 165224944 185878062 247837416 330449888 371756124 495674832 743512248 991349664 1487024496 2974048992