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2952080224 = 25378772843
BaseRepresentation
bin1010111111110101…
…0010101101100000
321121201212012202121
42233331102231200
522021213031344
61204533154024
7133104160612
oct25775225540
97551765677
102952080224
111285410625
126a478b914
133807a6c42
142000d0db2
1512427a684
hexaff52b60

2952080224 has 48 divisors (see below), whose sum is σ = 5977894608. Its totient is φ = 1434004992.

The previous prime is 2952080221. The next prime is 2952080227. The reversal of 2952080224 is 4220802592.

It is an interprime number because it is at equal distance from previous prime (2952080221) and next prime (2952080227).

It is a self number, because there is not a number n which added to its sum of digits gives 2952080224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2952080221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1036947 + ... + 1039789.

It is an arithmetic number, because the mean of its divisors is an integer number (124539471).

Almost surely, 22952080224 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 2952080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988947304).

2952080224 is an abundant number, since it is smaller than the sum of its proper divisors (3025814384).

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

2952080224 is a wasteful number, since it uses less digits than its factorization.

2952080224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 2952080224 is about 54333.0490953710. The cubic root of 2952080224 is about 1434.5291747765.

The spelling of 2952080224 in words is "two billion, nine hundred fifty-two million, eighty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 877 1184 1754 2843 3508 5686 7016 11372 14032 22744 28064 32449 45488 64898 90976 105191 129796 210382 259592 420764 519184 841528 1038368 1683056 2493311 3366112 4986622 9973244 19946488 39892976 79785952 92252507 184505014 369010028 738020056 1476040112 2952080224