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104748440 = 23523412777
BaseRepresentation
bin1100011111001…
…01010110011000
321022002202211212
412033211112120
5203303422230
614221042252
72411230016
oct617452630
9238082755
10104748440
1154145065
122b0b6388
1318916c34
14dca98b6
1592e1895
hex63e5598

104748440 has 64 divisors (see below), whose sum is σ = 252020160. Its totient is φ = 39086080.

The previous prime is 104748433. The next prime is 104748451. The reversal of 104748440 is 44847401.

It is a junction number, because it is equal to n+sod(n) for n = 104748397 and 104748406.

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, 36332 + ... + 39108.

It is an arithmetic number, because the mean of its divisors is an integer number (3937815).

Almost surely, 2104748440 is an apocalyptic number.

104748440 is a gapful number since it is divisible by the number (10) 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 104748440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126010080).

104748440 is an abundant number, since it is smaller than the sum of its proper divisors (147271720).

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

104748440 is a wasteful number, since it uses less digits than its factorization.

104748440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 104748440 is about 10234.6685339585. The cubic root of 104748440 is about 471.3923402126.

The spelling of 104748440 in words is "one hundred four million, seven hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 115 164 184 205 230 328 410 460 820 920 943 1640 1886 2777 3772 4715 5554 7544 9430 11108 13885 18860 22216 27770 37720 55540 63871 111080 113857 127742 227714 255484 319355 455428 510968 569285 638710 910856 1138570 1277420 2277140 2554840 2618711 4554280 5237422 10474844 13093555 20949688 26187110 52374220 104748440