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4629154140 = 22325133116361
BaseRepresentation
bin1000100111110101…
…10100100101011100
3102221121120101200100
410103322310211130
533440030413030
62043202501100
7222500106132
oct42372644534
912847511610
104629154140
111a66045026
12a92364790
1358a087280
1431cb29752
151c1601360
hex113eb495c

4629154140 has 144 divisors (see below), whose sum is σ = 15172911936. Its totient is φ = 1135641600.

The previous prime is 4629154069. The next prime is 4629154147. The reversal of 4629154140 is 414519264.

4629154140 is a `hidden beast` number, since 4 + 629 + 15 + 4 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4629154095 and 4629154104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4629154147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724560 + ... + 730920.

It is an arithmetic number, because the mean of its divisors is an integer number (105367444).

Almost surely, 24629154140 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 4629154140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7586455968).

4629154140 is an abundant number, since it is smaller than the sum of its proper divisors (10543757796).

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

4629154140 is a wasteful number, since it uses less digits than its factorization.

4629154140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4629154140 is about 68037.8875333442. The cubic root of 4629154140 is about 1666.6096059576.

The spelling of 4629154140 in words is "four billion, six hundred twenty-nine million, one hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 311 390 468 585 622 780 933 1170 1244 1555 1866 2340 2799 3110 3732 4043 4665 5598 6220 6361 8086 9330 11196 12129 12722 13995 16172 18660 19083 20215 24258 25444 27990 31805 36387 38166 40430 48516 55980 57249 60645 63610 72774 76332 80860 82693 95415 114498 121290 127220 145548 165386 181935 190830 228996 242580 248079 286245 330772 363870 381660 413465 496158 572490 727740 744237 826930 992316 1144980 1240395 1488474 1653860 1978271 2480790 2976948 3721185 3956542 4961580 5934813 7442370 7913084 9891355 11869626 14884740 17804439 19782710 23739252 25717523 29674065 35608878 39565420 51435046 59348130 71217756 77152569 89022195 102870092 118696260 128587615 154305138 178044390 231457707 257175230 308610276 356088780 385762845 462915414 514350460 771525690 925830828 1157288535 1543051380 2314577070 4629154140