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104999752 = 231113175399
BaseRepresentation
bin1100100001000…
…10101101001000
321022120112120201
412100202231020
5203334443002
614230301544
72413324504
oct620425510
9238515521
10104999752
11542a6960
122b1b78b4
13189a4440
14dd33304
159341087
hex6422b48

104999752 has 64 divisors (see below), whose sum is σ = 244944000. Its totient is φ = 41456640.

The previous prime is 104999737. The next prime is 104999753. The reversal of 104999752 is 257999401.

It is a happy number.

It is a super-2 number, since 2×1049997522 = 22049895840123008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (104999753) 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, 16749 + ... + 22147.

It is an arithmetic number, because the mean of its divisors is an integer number (3827250).

Almost surely, 2104999752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104999752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122472000).

104999752 is an abundant number, since it is smaller than the sum of its proper divisors (139944248).

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

104999752 is a wasteful number, since it uses less digits than its factorization.

104999752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 46.

The square root of 104999752 is about 10246.9386647915. The cubic root of 104999752 is about 471.7690266066.

The spelling of 104999752 in words is "one hundred four million, nine hundred ninety-nine thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 374 442 572 748 884 1144 1496 1768 2431 4862 5399 9724 10798 19448 21596 43192 59389 70187 91783 118778 140374 183566 237556 280748 367132 475112 561496 734264 772057 1009613 1193179 1544114 2019226 2386358 3088228 4038452 4772716 6176456 8076904 9545432 13124969 26249938 52499876 104999752