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104604624 = 24322937677
BaseRepresentation
bin1100011110000…
…10001111010000
321021211110120100
412033002033100
5203234321444
614214012400
72410060515
oct617021720
9237743510
10104604624
1154057003
122b047100
1318896637
14dc6d30c
1592b3e69
hex63c23d0

104604624 has 120 divisors (see below), whose sum is σ = 311486760. Its totient is φ = 32707584.

The previous prime is 104604583. The next prime is 104604631. The reversal of 104604624 is 426406401.

It can be written as a sum of positive squares in 4 ways, for example, as 72795024 + 31809600 = 8532^2 + 5640^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154174 + ... + 154850.

It is an arithmetic number, because the mean of its divisors is an integer number (2595723).

Almost surely, 2104604624 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 104604624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155743380).

104604624 is an abundant number, since it is smaller than the sum of its proper divisors (206882136).

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

104604624 is a wasteful number, since it uses less digits than its factorization.

104604624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 104604624 is about 10227.6401970347. The cubic root of 104604624 is about 471.1765062564.

The spelling of 104604624 in words is "one hundred four million, six hundred four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 37 48 58 72 74 87 111 116 144 148 174 222 232 261 296 333 348 444 464 522 592 666 677 696 888 1044 1073 1332 1354 1392 1776 2031 2088 2146 2664 2708 3219 4062 4176 4292 5328 5416 6093 6438 8124 8584 9657 10832 12186 12876 16248 17168 19314 19633 24372 25049 25752 32496 38628 39266 48744 50098 51504 58899 75147 77256 78532 97488 100196 117798 150294 154512 157064 176697 200392 225441 235596 300588 314128 353394 400784 450882 471192 601176 706788 726421 901764 942384 1202352 1413576 1452842 1803528 2179263 2827152 2905684 3607056 4358526 5811368 6537789 8717052 11622736 13075578 17434104 26151156 34868208 52302312 104604624