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4924062144 = 26334336581
BaseRepresentation
bin1001001010111111…
…10011100111000000
3110201011111021102000
410211133303213000
540041024442034
62132335424000
7233010560211
oct44537634700
913634437360
104924062144
1120a7560851
12b55085000
136061c1451
14349d75408
151dc456599
hex1257f39c0

4924062144 has 112 divisors (see below), whose sum is σ = 14511467040. Its totient is φ = 1637314560.

The previous prime is 4924062137. The next prime is 4924062217. The reversal of 4924062144 is 4412604294.

It is a happy number.

4924062144 is a `hidden beast` number, since 4 + 9 + 24 + 0 + 621 + 4 + 4 = 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 = 4924062099 and 4924062108.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 744934 + ... + 751514.

It is an arithmetic number, because the mean of its divisors is an integer number (129566670).

Almost surely, 24924062144 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 4924062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255733520).

4924062144 is an abundant number, since it is smaller than the sum of its proper divisors (9587404896).

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

4924062144 is a wasteful number, since it uses less digits than its factorization.

4924062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7035 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4924062144 is about 70171.6619726225. The cubic root of 4924062144 is about 1701.2749540758.

The spelling of 4924062144 in words is "four billion, nine hundred twenty-four million, sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 433 576 864 866 1299 1728 1732 2598 3464 3897 5196 6581 6928 7794 10392 11691 13162 13856 15588 19743 20784 23382 26324 27712 31176 39486 41568 46764 52648 59229 62352 78972 83136 93528 105296 118458 124704 157944 177687 187056 210592 236916 249408 315888 355374 374112 421184 473832 631776 710748 748224 947664 1263552 1421496 1895328 2842992 2849573 3790656 5685984 5699146 8548719 11371968 11398292 17097438 22796584 25646157 34194876 45593168 51292314 68389752 76938471 91186336 102584628 136779504 153876942 182372672 205169256 273559008 307753884 410338512 547118016 615507768 820677024 1231015536 1641354048 2462031072 4924062144