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421049268 = 2232172572677
BaseRepresentation
bin11001000110001…
…011001110110100
31002100021112000100
4121012023032310
51330242034033
6105440314100
713301600613
oct3106131664
91070245010
10421049268
111a6742602
12b9012930
13693014a3
143dcc387a
1526e70513
hex1918b3b4

421049268 has 72 divisors (see below), whose sum is σ = 1131733512. Its totient is φ = 131530752.

The previous prime is 421049261. The next prime is 421049273. The reversal of 421049268 is 862940124.

It can be written as a sum of positive squares in 4 ways, for example, as 113678244 + 307371024 = 10662^2 + 17532^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421049261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155946 + ... + 158622.

It is an arithmetic number, because the mean of its divisors is an integer number (15718521).

Almost surely, 2421049268 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 421049268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565866756).

421049268 is an abundant number, since it is smaller than the sum of its proper divisors (710684244).

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

421049268 is a wasteful number, since it uses less digits than its factorization.

421049268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 421049268 is about 20519.4850812587. The cubic root of 421049268 is about 749.5103577368.

The spelling of 421049268 in words is "four hundred twenty-one million, forty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 257 306 514 612 771 1028 1542 2313 2677 3084 4369 4626 5354 8031 8738 9252 10708 13107 16062 17476 24093 26214 32124 39321 45509 48186 52428 78642 91018 96372 136527 157284 182036 273054 409581 546108 687989 819162 1375978 1638324 2063967 2751956 4127934 6191901 8255868 11695813 12383802 23391626 24767604 35087439 46783252 70174878 105262317 140349756 210524634 421049268