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420616548 = 2232112346181
BaseRepresentation
bin11001000100100…
…001100101100100
31002022110112102200
4121010201211210
51330134212143
6105423134500
713265116212
oct3104414544
91068415380
10420616548
111a6477490
12b8a44430
13691ac541
143dc0dcb2
1526dd71d3
hex19121964

420616548 has 72 divisors (see below), whose sum is σ = 1210337856. Its totient is φ = 121915200.

The previous prime is 420616531. The next prime is 420616561. The reversal of 420616548 is 845616024.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13983 + ... + 32198.

It is an arithmetic number, because the mean of its divisors is an integer number (16810248).

Almost surely, 2420616548 is an apocalyptic number.

It is an amenable number.

420616548 is an abundant number, since it is smaller than the sum of its proper divisors (789721308).

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

420616548 is a wasteful number, since it uses less digits than its factorization.

420616548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46225 (or 46220 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 420616548 is about 20508.9382465305. The cubic root of 420616548 is about 749.2535079126.

The spelling of 420616548 in words is "four hundred twenty million, six hundred sixteen thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 46181 92362 138543 184724 277086 415629 507991 554172 831258 1015982 1062163 1523973 1662516 2031964 2124326 3047946 3186489 4248652 4571919 6095892 6372978 9143838 9559467 11683793 12745956 18287676 19118934 23367586 35051379 38237868 46735172 70102758 105154137 140205516 210308274 420616548