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2949393024 = 273217914303
BaseRepresentation
bin1010111111001100…
…0010101010000000
321121112210200121200
42233303002222000
522020021034044
61204355421200
7133042266324
oct25763025200
97545720550
102949393024
1112839456a6
126a38b4800
13380075a96
141dd9d1984
15123de9369
hexafcc2a80

2949393024 has 96 divisors (see below), whose sum is σ = 8535196800. Its totient is φ = 977570304.

The previous prime is 2949393023. The next prime is 2949393077. The reversal of 2949393024 is 4203939492.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949393023) 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, 199057 + ... + 213359.

It is an arithmetic number, because the mean of its divisors is an integer number (88908300).

Almost surely, 22949393024 is an apocalyptic number.

2949393024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2949393024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267598400).

2949393024 is an abundant number, since it is smaller than the sum of its proper divisors (5585803776).

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

2949393024 is a wasteful number, since it uses less digits than its factorization.

2949393024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14502 (or 14487 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 2949393024 is about 54308.3145015568. The cubic root of 2949393024 is about 1434.0937714046.

The spelling of 2949393024 in words is "two billion, nine hundred forty-nine million, three hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 288 358 384 537 576 716 1074 1152 1432 1611 2148 2864 3222 4296 5728 6444 8592 11456 12888 14303 17184 22912 25776 28606 34368 42909 51552 57212 68736 85818 103104 114424 128727 171636 206208 228848 257454 343272 457696 514908 686544 915392 1029816 1373088 1830784 2059632 2560237 2746176 4119264 5120474 5492352 7680711 8238528 10240948 15361422 16477056 20481896 23042133 30722844 40963792 46084266 61445688 81927584 92168532 122891376 163855168 184337064 245782752 327710336 368674128 491565504 737348256 983131008 1474696512 2949393024