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4890557952 = 2933750539
BaseRepresentation
bin1001000110111111…
…11111111000000000
3110121211110002022000
410203133333320000
540003440323302
62125141344000
7232123025310
oct44337777000
913554402260
104890557952
11208a657635
12b45a08000
135cc290497
14345733440
151d953931c
hex1237ffe00

4890557952 has 160 divisors (see below), whose sum is σ = 16544774400. Its totient is φ = 1397274624.

The previous prime is 4890557939. The next prime is 4890557993. The reversal of 4890557952 is 2597550984.

4890557952 is a `hidden beast` number, since 4 + 89 + 0 + 557 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71499 + ... + 122037.

It is an arithmetic number, because the mean of its divisors is an integer number (103404840).

Almost surely, 24890557952 is an apocalyptic number.

4890557952 is a gapful number since it is divisible by the number (42) 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 4890557952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8272387200).

4890557952 is an abundant number, since it is smaller than the sum of its proper divisors (11654216448).

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

4890557952 is an equidigital number, since it uses as much as digits as its factorization.

4890557952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50573 (or 50551 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The square root of 4890557952 is about 69932.5242787646. The cubic root of 4890557952 is about 1697.4075771715.

The spelling of 4890557952 in words is "four billion, eight hundred ninety million, five hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 50539 96768 101078 151617 202156 303234 353773 404312 454851 606468 707546 808624 909702 1061319 1212936 1364553 1415092 1617248 1819404 2122638 2425872 2729106 2830184 3183957 3234496 3638808 4245276 4851744 5458212 5660368 6367914 6468992 7277616 8490552 9551871 9703488 10916424 11320736 12735828 12937984 14555232 16981104 19103742 19406976 21832848 22641472 25471656 25875968 29110464 33962208 38207484 38813952 43665696 45282944 50943312 58220928 67924416 76414968 77627904 87331392 90565888 101886624 116441856 135848832 152829936 174662784 181131776 203773248 232883712 271697664 305659872 349325568 407546496 543395328 611319744 698651136 815092992 1222639488 1630185984 2445278976 4890557952