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3752645652 = 2233721612297
BaseRepresentation
bin1101111110101100…
…1101010000010100
3100200112021011002000
43133223031100110
530141134130102
61420212115300
7161664650610
oct33753152024
910615234060
103752645652
1116562a8248
12888905b30
1347a5c72b2
14278566340
1516e6b501c
hexdfacd414

3752645652 has 96 divisors (see below), whose sum is σ = 11128938240. Its totient is φ = 1071221760.

The previous prime is 3752645651. The next prime is 3752645653. The reversal of 3752645652 is 2565462573.

3752645652 is a `hidden beast` number, since 37 + 52 + 6 + 4 + 565 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3752645651) and next prime (3752645653).

It is a junction number, because it is equal to n+sod(n) for n = 3752645598 and 3752645607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3752645651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632568 + ... + 1634864.

It is an arithmetic number, because the mean of its divisors is an integer number (115926440).

Almost surely, 23752645652 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 3752645652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564469120).

3752645652 is an abundant number, since it is smaller than the sum of its proper divisors (7376292588).

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

3752645652 is a wasteful number, since it uses less digits than its factorization.

3752645652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4470 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 3752645652 is about 61258.8414190148. The cubic root of 3752645652 is about 1553.9815295728.

The spelling of 3752645652 in words is "three billion, seven hundred fifty-two million, six hundred forty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2161 2297 4322 4594 6483 6891 8644 9188 12966 13782 15127 16079 19449 20673 25932 27564 30254 32158 38898 41346 45381 48237 58347 60508 62019 64316 77796 82692 90762 96474 116694 124038 136143 144711 181524 192948 233388 248076 272286 289422 408429 434133 544572 578844 816858 868266 1633716 1736532 4963817 9927634 14891451 19855268 29782902 34746719 44674353 59565804 69493438 89348706 104240157 134023059 138986876 178697412 208480314 268046118 312720471 416960628 536092236 625440942 938161413 1250881884 1876322826 3752645652