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4629490944 = 283131014591
BaseRepresentation
bin1000100111111000…
…00110110100000000
3102221122012111200120
410103330012310000
533440122202234
62043214020240
7222503011101
oct42374066400
912848174616
104629490944
111a66255081
12a924a7680
1358a174670
1431cbb63a8
151c166b049
hex113f06d00

4629490944 has 144 divisors (see below), whose sum is σ = 13403276544. Its totient is φ = 1410048000.

The previous prime is 4629490913. The next prime is 4629490973. The reversal of 4629490944 is 4490949264.

It is a super-2 number, since 2×46294909442 = 42864372801156022272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1006089 + ... + 1010679.

Almost surely, 24629490944 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 4629490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701638272).

4629490944 is an abundant number, since it is smaller than the sum of its proper divisors (8773785600).

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

4629490944 is a wasteful number, since it uses less digits than its factorization.

4629490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The square root of 4629490944 is about 68040.3626092630. The cubic root of 4629490944 is about 1666.6500242249.

The spelling of 4629490944 in words is "four billion, six hundred twenty-nine million, four hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 156 192 202 208 256 303 312 384 404 416 606 624 768 808 832 1212 1248 1313 1616 1664 2424 2496 2626 3232 3328 3939 4591 4848 4992 5252 6464 7878 9182 9696 9984 10504 12928 13773 15756 18364 19392 21008 25856 27546 31512 36728 38784 42016 55092 59683 63024 73456 77568 84032 110184 119366 126048 146912 168064 179049 220368 238732 252096 293824 336128 358098 440736 463691 477464 504192 587648 716196 881472 927382 954928 1008384 1175296 1391073 1432392 1762944 1854764 1909856 2782146 2864784 3525888 3709528 3819712 5564292 5729568 6027983 7419056 7639424 11128584 11459136 12055966 14838112 15278848 18083949 22257168 22918272 24111932 29676224 36167898 44514336 45836544 48223864 59352448 72335796 89028672 96447728 118704896 144671592 178057344 192895456 289343184 356114688 385790912 578686368 771581824 1157372736 1543163648 2314745472 4629490944