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104734752 = 2538531279
BaseRepresentation
bin1100011111000…
…10000000100000
321022002002001220
412033202000200
5203303003002
614220455040
72411142063
oct617420040
9238062056
10104734752
1154135851
122b0aa480
1318910935
14dca48da
1592dc7bc
hex63e2020

104734752 has 48 divisors (see below), whose sum is σ = 275466240. Its totient is φ = 34843392.

The previous prime is 104734733. The next prime is 104734759. The reversal of 104734752 is 257437401.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (104734759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81249 + ... + 82527.

It is an arithmetic number, because the mean of its divisors is an integer number (5738880).

Almost surely, 2104734752 is an apocalyptic number.

104734752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104734752 is an abundant number, since it is smaller than the sum of its proper divisors (170731488).

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

104734752 is a wasteful number, since it uses less digits than its factorization.

104734752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 104734752 is about 10233.9998045730. Note that the first 3 decimals coincide. The cubic root of 104734752 is about 471.3718062571.

It can be divided in two parts, 10473 and 4752, that added together give a triangular number (15225 = T174).

The spelling of 104734752 in words is "one hundred four million, seven hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 853 1279 1706 2558 2559 3412 3837 5116 5118 6824 7674 10232 10236 13648 15348 20464 20472 27296 30696 40928 40944 61392 81888 122784 1090987 2181974 3272961 4363948 6545922 8727896 13091844 17455792 26183688 34911584 52367376 104734752