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420452526 = 231359211433
BaseRepresentation
bin11001000011111…
…001100010101110
31002022011012102210
4121003321202232
51330113440101
6105415431250
713263534054
oct3103714256
91068135383
10420452526
111a637522a
12b8985526
13691529a0
143dbaa1d4
1526da37d6
hex190f98ae

420452526 has 64 divisors (see below), whose sum is σ = 927440640. Its totient is φ = 126282240.

The previous prime is 420452509. The next prime is 420452533. The reversal of 420452526 is 625254024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 420452493 and 420452502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970806 + ... + 971238.

It is an arithmetic number, because the mean of its divisors is an integer number (14491260).

Almost surely, 2420452526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420452526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463720320).

420452526 is an abundant number, since it is smaller than the sum of its proper divisors (506988114).

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

420452526 is a wasteful number, since it uses less digits than its factorization.

420452526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721.

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 420452526 is about 20504.9390635525. The cubic root of 420452526 is about 749.1561032516.

The spelling of 420452526 in words is "four hundred twenty million, four hundred fifty-two thousand, five hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 59 78 118 177 211 354 422 433 633 767 866 1266 1299 1534 2301 2598 2743 4602 5486 5629 8229 11258 12449 16458 16887 24898 25547 33774 37347 51094 74694 76641 91363 153282 161837 182726 274089 323674 332111 485511 548178 664222 971022 996333 1187719 1992666 2375438 3563157 5390417 7126314 10780834 16171251 32342502 70075421 140150842 210226263 420452526