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4235256072 = 233422928541
BaseRepresentation
bin1111110001110000…
…1110000100001000
3101221011101022010000
43330130032010020
532133211143242
61540132123000
7206645040225
oct37434160410
911834338100
104235256072
111883767633
129a2466460
135265a11a8
142c26b294c
1519bc45a4c
hexfc70e108

4235256072 has 80 divisors (see below), whose sum is σ = 11914857900. Its totient is φ = 1405537920.

The previous prime is 4235256049. The next prime is 4235256079. The reversal of 4235256072 is 2706525324.

4235256072 is a `hidden beast` number, since 4 + 2 + 3 + 525 + 60 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4168768356 + 66487716 = 64566^2 + 8154^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4235256079) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134122 + ... + 162662.

Almost surely, 24235256072 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 4235256072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957428950).

4235256072 is an abundant number, since it is smaller than the sum of its proper divisors (7679601828).

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

4235256072 is a wasteful number, since it uses less digits than its factorization.

4235256072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28788 (or 28775 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4235256072 is about 65078.8450419950. The cubic root of 4235256072 is about 1617.9306087097.

The spelling of 4235256072 in words is "four billion, two hundred thirty-five million, two hundred fifty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 229 324 458 648 687 916 1374 1832 2061 2748 4122 5496 6183 8244 12366 16488 18549 24732 28541 37098 49464 57082 74196 85623 114164 148392 171246 228328 256869 342492 513738 684984 770607 1027476 1541214 2054952 2311821 3082428 4623642 6164856 6535889 9247284 13071778 18494568 19607667 26143556 39215334 52287112 58823001 78430668 117646002 156861336 176469003 235292004 352938006 470584008 529407009 705876012 1058814018 1411752024 2117628036 4235256072