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2992245408 = 253313126437
BaseRepresentation
bin1011001001011010…
…0000101010100000
321201112102211001000
42302112200222200
522112003323113
61212530112000
7134102444355
oct26226405240
97645384030
102992245408
1112a6054299
126b611b600
13388bcaa19
1420558862c
15127a61373
hexb25a0aa0

2992245408 has 96 divisors (see below), whose sum is σ = 8794336320. Its totient is φ = 989763840.

The previous prime is 2992245407. The next prime is 2992245439. The reversal of 2992245408 is 8045422992.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2992245401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99966 + ... + 126402.

It is an arithmetic number, because the mean of its divisors is an integer number (91607670).

Almost surely, 22992245408 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 2992245408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397168160).

2992245408 is an abundant number, since it is smaller than the sum of its proper divisors (5802090912).

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

2992245408 is a wasteful number, since it uses less digits than its factorization.

2992245408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26587 (or 26573 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2992245408 is about 54701.4205300009. The cubic root of 2992245408 is about 1441.0058250558.

The spelling of 2992245408 in words is "two billion, nine hundred ninety-two million, two hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 131 144 216 262 288 393 432 524 786 864 1048 1179 1572 2096 2358 3144 3537 4192 4716 6288 7074 9432 12576 14148 18864 26437 28296 37728 52874 56592 79311 105748 113184 158622 211496 237933 317244 422992 475866 634488 713799 845984 951732 1268976 1427598 1903464 2537952 2855196 3463247 3806928 5710392 6926494 7613856 10389741 11420784 13852988 20779482 22841568 27705976 31169223 41558964 55411952 62338446 83117928 93507669 110823904 124676892 166235856 187015338 249353784 332471712 374030676 498707568 748061352 997415136 1496122704 2992245408