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4900429408 = 25731798933
BaseRepresentation
bin1001001000001011…
…01001111001100000
3110122112000121101111
410210011221321200
540014002220113
62130133113104
7232302651130
oct44405517140
913575017344
104900429408
11209518a166
12b49188794
13601338694
14346b82ac0
151da33913d
hex124169e60

4900429408 has 96 divisors (see below), whose sum is σ = 11527004160. Its totient is φ = 2006484480.

The previous prime is 4900429363. The next prime is 4900429409. The reversal of 4900429408 is 8049240094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4900429409) 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 15 ways as a sum of consecutive naturals, for example, 544110 + ... + 553042.

It is an arithmetic number, because the mean of its divisors is an integer number (120072960).

Almost surely, 24900429408 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 4900429408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763502080).

4900429408 is an abundant number, since it is smaller than the sum of its proper divisors (6626574752).

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

4900429408 is a wasteful number, since it uses less digits than its factorization.

4900429408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9060 (or 9052 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 4900429408 is about 70003.0671328050. The cubic root of 4900429408 is about 1698.5488663821.

The spelling of 4900429408 in words is "four billion, nine hundred million, four hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 79 112 124 158 217 224 248 316 434 496 553 632 868 992 1106 1264 1736 2212 2449 2528 3472 4424 4898 6944 8848 8933 9796 17143 17696 17866 19592 34286 35732 39184 62531 68572 71464 78368 125062 137144 142928 250124 274288 276923 285856 500248 548576 553846 705707 1000496 1107692 1411414 1938461 2000992 2215384 2822828 3876922 4430768 4939949 5645656 7753844 8861536 9879898 11291312 15507688 19759796 21876917 22582624 31015376 39519592 43753834 62030752 79039184 87507668 153138419 158078368 175015336 306276838 350030672 612553676 700061344 1225107352 2450214704 4900429408