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4795440 = 2435132953
BaseRepresentation
bin10010010010110000110000
3100000122002220
4102102300300
52211423230
6250441040
755521606
oct22226060
910018086
104795440
112785981
121733180
13cbb950
148cb876
1564ad10
hex492c30

4795440 has 160 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1118208.

The previous prime is 4795433. The next prime is 4795451. The reversal of 4795440 is 445974.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90454 + ... + 90506.

It is an arithmetic number, because the mean of its divisors is an integer number (105462).

Almost surely, 24795440 is an apocalyptic number.

4795440 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 4795440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

4795440 is an abundant number, since it is smaller than the sum of its proper divisors (12078480).

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

4795440 is a wasteful number, since it uses less digits than its factorization.

4795440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4795440 is about 2189.8493098841. The cubic root of 4795440 is about 168.6330987338.

The spelling of 4795440 in words is "four million, seven hundred ninety-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 53 58 60 65 78 80 87 104 106 116 120 130 145 156 159 174 195 208 212 232 240 260 265 290 312 318 348 377 390 424 435 464 520 530 580 624 636 689 696 754 780 795 848 870 1040 1060 1131 1160 1272 1378 1392 1508 1537 1560 1590 1740 1885 2067 2120 2262 2320 2544 2756 3016 3074 3120 3180 3445 3480 3770 4134 4240 4524 4611 5512 5655 6032 6148 6360 6890 6960 7540 7685 8268 9048 9222 10335 11024 11310 12296 12720 13780 15080 15370 16536 18096 18444 19981 20670 22620 23055 24592 27560 30160 30740 33072 36888 39962 41340 45240 46110 55120 59943 61480 73776 79924 82680 90480 92220 99905 119886 122960 159848 165360 184440 199810 239772 299715 319696 368880 399620 479544 599430 799240 959088 1198860 1598480 2397720 4795440