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546401961 = 32723557677
BaseRepresentation
bin100000100100010…
…110111010101001
31102002011002120200
4200210112322221
52104334330321
6130115142413
716353224430
oct4044267251
91362132520
10546401961
1126047a976
12132ba4a09
1389280891
14527d4117
1532e81d26
hex20916ea9

546401961 has 48 divisors (see below), whose sum is σ = 944296704. Its totient is φ = 297677952.

The previous prime is 546401953. The next prime is 546401969. The reversal of 546401961 is 169104645.

546401961 is a `hidden beast` number, since 5 + 4 + 640 + 1 + 9 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (546401953) and next prime (546401969).

It is not a de Polignac number, because 546401961 - 23 = 546401953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (546401969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 806755 + ... + 807431.

It is an arithmetic number, because the mean of its divisors is an integer number (19672848).

Almost surely, 2546401961 is an apocalyptic number.

It is an amenable number.

546401961 is a deficient number, since it is larger than the sum of its proper divisors (397894743).

546401961 is a wasteful number, since it uses less digits than its factorization.

546401961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 546401961 is about 23375.2424800257. The cubic root of 546401961 is about 817.5307240929.

The spelling of 546401961 in words is "five hundred forty-six million, four hundred one thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 557 677 1449 1671 2031 3899 4739 5013 6093 11697 12811 14217 15571 35091 38433 42651 46713 89677 108997 115299 140139 269031 326991 377089 807093 980973 1131267 2639623 3393801 7918869 8673047 23756607 26019141 60711329 78057423 182133987 546401961