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104597472 = 2537315021
BaseRepresentation
bin1100011110000…
…00011111100000
321021211002202110
412033000133200
5203234104342
614213515320
72410030620
oct617003740
9237732673
10104597472
11540516a1
122b042b40
13188932c5
14dc6a880
1592b1c9c
hex63c07e0

104597472 has 96 divisors (see below), whose sum is σ = 323979264. Its totient is φ = 28915200.

The previous prime is 104597407. The next prime is 104597477. The reversal of 104597472 is 274795401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1045974722 = 21881262297581568, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 104597472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104597477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18322 + ... + 23342.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2104597472 is an apocalyptic number.

104597472 is a gapful number since it is divisible by the number (12) 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 104597472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

104597472 is an abundant number, since it is smaller than the sum of its proper divisors (219381792).

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

104597472 is a wasteful number, since it uses less digits than its factorization.

104597472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 104597472 is about 10227.2905502875. The cubic root of 104597472 is about 471.1657676260.

The spelling of 104597472 in words is "one hundred four million, five hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5021 5208 6944 10042 10416 15063 20084 20832 30126 35147 40168 60252 70294 80336 105441 120504 140588 155651 160672 210882 241008 281176 311302 421764 466953 482016 562352 622604 843528 933906 1089557 1124704 1245208 1687056 1867812 2179114 2490416 3268671 3374112 3735624 4358228 4980832 6537342 7471248 8716456 13074684 14942496 17432912 26149368 34865824 52298736 104597472