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661425408 = 2832741011
BaseRepresentation
bin100111011011001…
…000110100000000
31201002120220002100
4213123020310000
52323311103113
6145344350400
722251010650
oct4733106400
91632526070
10661425408
1130a3a2776
12165615400
13a70545a7
1463bb6360
153d102d73
hex276c8d00

661425408 has 108 divisors (see below), whose sum is σ = 2179541728. Its totient is φ = 188974080.

The previous prime is 661425403. The next prime is 661425463. The reversal of 661425408 is 804524166.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (661425403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4378 + ... + 36633.

Almost surely, 2661425408 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 661425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089770864).

661425408 is an abundant number, since it is smaller than the sum of its proper divisors (1518116320).

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

661425408 is a wasteful number, since it uses less digits than its factorization.

661425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41040 (or 41023 counting only the distinct ones).

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

The square root of 661425408 is about 25718.1921604144. The cubic root of 661425408 is about 871.2851083163.

The spelling of 661425408 in words is "six hundred sixty-one million, four hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 41011 82022 123033 164044 246066 287077 328088 369099 492132 574154 656176 738198 861231 984264 1148308 1312352 1476396 1722462 1968528 2296616 2583693 2624704 2952792 3444924 3937056 4593232 5167386 5249408 5905584 6889848 7874112 9186464 10334772 10498816 11811168 13779696 15748224 18372928 20669544 23622336 27559392 31496448 36745856 41339088 47244672 55118784 73491712 82678176 94489344 110237568 165356352 220475136 330712704 661425408