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661277148 = 223729671163
BaseRepresentation
bin100111011010100…
…100100111011100
31201002022100201020
4213122210213130
52323241332043
6145341244140
722246522500
oct4732444734
91632270636
10661277148
1130a301344
12165563650
13a7001c6c
1463b78300
153d0c3e83
hex276a49dc

661277148 has 72 divisors (see below), whose sum is σ = 1798296192. Its totient is φ = 188578656.

The previous prime is 661277129. The next prime is 661277171. The reversal of 661277148 is 841772166.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568015 + ... + 569177.

It is an arithmetic number, because the mean of its divisors is an integer number (24976336).

Almost surely, 2661277148 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 661277148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899148096).

661277148 is an abundant number, since it is smaller than the sum of its proper divisors (1137019044).

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

661277148 is a wasteful number, since it uses less digits than its factorization.

661277148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2142 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 661277148 is about 25715.3096034250. The cubic root of 661277148 is about 871.2200032762.

The spelling of 661277148 in words is "six hundred sixty-one million, two hundred seventy-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 967 1163 1934 2326 2901 3489 3868 4652 5802 6769 6978 8141 11604 13538 13956 16282 20307 24423 27076 32564 40614 47383 48846 56987 81228 94766 97692 113974 142149 170961 189532 227948 284298 341922 568596 683844 1124621 2249242 3373863 4498484 6747726 7872347 13495452 15744694 23617041 31489388 47234082 55106429 94468164 110212858 165319287 220425716 330638574 661277148