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2972994048 = 2932677953
BaseRepresentation
bin1011000100110100…
…0100101000000000
321200012012202010200
42301031010220000
522042041302143
61211001325200
7133450014063
oct26115045000
97605182120
102972994048
1112961a5482
126ab796800
13384c1a29b
14202bb68da
1512600c1d3
hexb1344a00

2972994048 has 120 divisors (see below), whose sum is σ = 8601952788. Its totient is φ = 988495872.

The previous prime is 2972994029. The next prime is 2972994061. The reversal of 2972994048 is 8404992792.

It can be written as a sum of positive squares in 2 ways, for example, as 2692364544 + 280629504 = 51888^2 + 16752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2972993985 and 2972994003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3119140 + ... + 3120092.

Almost surely, 22972994048 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 2972994048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300976394).

2972994048 is an abundant number, since it is smaller than the sum of its proper divisors (5628958740).

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

2972994048 is an equidigital number, since it uses as much as digits as its factorization.

2972994048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1635 counting only the distinct ones).

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

The square root of 2972994048 is about 54525.1689405911. The cubic root of 2972994048 is about 1437.9088164827.

The spelling of 2972994048 in words is "two billion, nine hundred seventy-two million, nine hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 677 768 953 1152 1354 1536 1906 2031 2304 2708 2859 3812 4062 4608 5416 5718 6093 7624 8124 8577 10832 11436 12186 15248 16248 17154 21664 22872 24372 30496 32496 34308 43328 45744 48744 60992 64992 68616 86656 91488 97488 121984 129984 137232 173312 182976 194976 243968 259968 274464 346624 365952 389952 487936 519936 548928 645181 731904 779904 1039872 1097856 1290362 1463808 1559808 1935543 2195712 2580724 3119616 3871086 4391424 5161448 5806629 7742172 10322896 11613258 15484344 20645792 23226516 30968688 41291584 46453032 61937376 82583168 92906064 123874752 165166336 185812128 247749504 330332672 371624256 495499008 743248512 990998016 1486497024 2972994048