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4248232704 = 2833614617
BaseRepresentation
bin1111110100110110…
…1110001100000000
3101222001210120201000
43331031232030000
532200021421304
61541314212000
7210163245042
oct37515561400
911861716630
104248232704
111890020121
129a6884000
13529195881
142c42cda92
1519ce5a939
hexfd36e300

4248232704 has 72 divisors (see below), whose sum is σ = 12562791920. Its totient is φ = 1416075264.

The previous prime is 4248232669. The next prime is 4248232711. The reversal of 4248232704 is 4072328424.

4248232704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×42482327042 = 36094962214670303232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300397 + ... + 314220.

Almost surely, 24248232704 is an apocalyptic number.

It is an amenable number.

4248232704 is an abundant number, since it is smaller than the sum of its proper divisors (8314559216).

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

4248232704 is an equidigital number, since it uses as much as digits as its factorization.

4248232704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614642 (or 614622 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4248232704 is about 65178.4681010531. The cubic root of 4248232704 is about 1619.5813458638.

The spelling of 4248232704 in words is "four billion, two hundred forty-eight million, two hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 614617 1229234 1843851 2458468 3687702 4916936 5531553 7375404 9833872 11063106 14750808 16594659 19667744 22126212 29501616 33189318 39335488 44252424 59003232 66378636 78670976 88504848 118006464 132757272 157341952 177009696 236012928 265514544 354019392 472025856 531029088 708038784 1062058176 1416077568 2124116352 4248232704