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661445172 = 22326724093
BaseRepresentation
bin100111011011001…
…101101000110100
31201002121220012100
4213123031220310
52323312221142
6145345022100
722251122403
oct4733155064
91632556170
10661445172
1130a406603
12165624930
13a706059b
1463bbd63a
153d108b4c
hex276cda34

661445172 has 54 divisors (see below), whose sum is σ = 1697728578. Its totient is φ = 217137888.

The previous prime is 661445149. The next prime is 661445173. The reversal of 661445172 is 271544166.

It can be written as a sum of positive squares in only one way, i.e., 543635856 + 117809316 = 23316^2 + 10854^2 .

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 (661445173) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 159558 + ... + 163650.

Almost surely, 2661445172 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 661445172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848864289).

661445172 is an abundant number, since it is smaller than the sum of its proper divisors (1036283406).

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

661445172 is a wasteful number, since it uses less digits than its factorization.

661445172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4165 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 661445172 is about 25718.5763991711. The cubic root of 661445172 is about 871.2937864969.

The spelling of 661445172 in words is "six hundred sixty-one million, four hundred forty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 4093 4489 8186 8978 12279 13467 16372 17956 24558 26934 36837 40401 49116 53868 73674 80802 147348 161604 274231 548462 822693 1096924 1645386 2468079 3290772 4936158 9872316 18373477 36746954 55120431 73493908 110240862 165361293 220481724 330722586 661445172