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2973048 = 233132733
BaseRepresentation
bin1011010101110101111000
312121001020220
423111311320
51230114143
6143420040
734161531
oct13256570
95531226
102973048
111750771
12bb4620
13801300
14575688
153dad83
hex2d5d78

2973048 has 48 divisors (see below), whose sum is σ = 8059320. Its totient is φ = 913536.

The previous prime is 2973043. The next prime is 2973053. The reversal of 2973048 is 8403792.

It is an interprime number because it is at equal distance from previous prime (2973043) and next prime (2973053).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3690 + ... + 4422.

22973048 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 2973048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029660).

2973048 is an abundant number, since it is smaller than the sum of its proper divisors (5086272).

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

2973048 is a wasteful number, since it uses less digits than its factorization.

2973048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2973048 is about 1724.2528816853. The cubic root of 2973048 is about 143.7917514514.

The spelling of 2973048 in words is "two million, nine hundred seventy-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 733 1014 1352 1466 2028 2199 2932 4056 4398 5864 8796 9529 17592 19058 28587 38116 57174 76232 114348 123877 228696 247754 371631 495508 743262 991016 1486524 2973048