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4796911920 = 2435127337467
BaseRepresentation
bin1000111011110101…
…10001000100110000
3110101022020101002110
410131322301010300
534311002140140
62111554245320
7226605035643
oct43572610460
913338211073
104796911920
112041805a19
12b1a586840
135b5a62b28
14337117a5a
151d11dc380
hex11deb1130

4796911920 has 160 divisors (see below), whose sum is σ = 15064178688. Its totient is φ = 1262628864.

The previous prime is 4796911897. The next prime is 4796911921. The reversal of 4796911920 is 291196974.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4796911920.

It is not an unprimeable number, because it can be changed into a prime (4796911921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10271527 + ... + 10271993.

Almost surely, 24796911920 is an apocalyptic number.

4796911920 is a gapful number since it is divisible by the number (40) 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 4796911920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7532089344).

4796911920 is an abundant number, since it is smaller than the sum of its proper divisors (10267266768).

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

4796911920 is a wasteful number, since it uses less digits than its factorization.

4796911920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 4796911920 is about 69259.7424193882. The cubic root of 4796911920 is about 1686.5035047287.

The spelling of 4796911920 in words is "four billion, seven hundred ninety-six million, nine hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 337 381 467 508 635 674 762 934 1011 1016 1270 1348 1401 1524 1685 1868 1905 2022 2032 2335 2540 2696 2802 3048 3370 3736 3810 4044 4670 5055 5080 5392 5604 6096 6740 7005 7472 7620 8088 9340 10110 10160 11208 13480 14010 15240 16176 18680 20220 22416 26960 28020 30480 37360 40440 42799 56040 59309 80880 85598 112080 118618 128397 157379 171196 177927 213995 237236 256794 296545 314758 342392 355854 427990 472137 474472 513588 593090 629516 641985 684784 711708 786895 855980 889635 944274 948944 1027176 1186180 1259032 1283970 1423416 1573790 1711960 1779270 1888548 2054352 2360685 2372360 2518064 2567940 2846832 3147580 3423920 3558540 3777096 4721370 4744720 5135880 6295160 7117080 7554192 9442740 10271760 12590320 14234160 18885480 19987133 37770960 39974266 59961399 79948532 99935665 119922798 159897064 199871330 239845596 299806995 319794128 399742660 479691192 599613990 799485320 959382384 1199227980 1598970640 2398455960 4796911920