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421954785 = 33572989173
BaseRepresentation
bin11001001001101…
…000010011100001
31002101222112011000
4121021220103201
51331010023120
6105511542213
713312361610
oct3111502341
91071875130
10421954785
111a720096a
12b938a969
136955a6b5
144007b877
152709d990
hex192684e1

421954785 has 128 divisors (see below), whose sum is σ = 902016000. Its totient is φ = 183085056.

The previous prime is 421954777. The next prime is 421954787. The reversal of 421954785 is 587459124.

421954785 is a `hidden beast` number, since 4 + 21 + 9 + 547 + 85 = 666.

It is not a de Polignac number, because 421954785 - 23 = 421954777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 421954785.

It is not an unprimeable number, because it can be changed into a prime (421954787) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2438959 + ... + 2439131.

It is an arithmetic number, because the mean of its divisors is an integer number (7047000).

It is the magic constant of a 945 × 945 magic square.

Almost surely, 2421954785 is an apocalyptic number.

421954785 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

421954785 is an abundant number, since it is smaller than the sum of its proper divisors (480061215).

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

421954785 is a wasteful number, since it uses less digits than its factorization.

421954785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 421954785 is about 20541.5380388130. The cubic root of 421954785 is about 750.0472770198.

The spelling of 421954785 in words is "four hundred twenty-one million, nine hundred fifty-four thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 87 89 105 135 145 173 189 203 261 267 315 435 445 519 609 623 783 801 865 945 1015 1211 1305 1335 1557 1827 1869 2403 2581 2595 3045 3115 3633 3915 4005 4671 5017 5481 5607 6055 7743 7785 9135 9345 10899 12015 12905 15051 15397 16821 18067 18165 23229 23355 25085 27405 28035 32697 35119 38715 45153 46191 54201 54495 69687 75255 76985 84105 90335 105357 107779 116145 135459 138573 162603 163485 175595 225765 230955 271005 316071 323337 348435 415719 446513 487809 526785 538895 677295 692865 813015 948213 970011 1339539 1580355 1616685 2078595 2232565 2439045 2910033 3125591 4018617 4741065 4850055 6697695 9376773 12055851 14550165 15627955 20093085 28130319 46883865 60279255 84390957 140651595 421954785