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642077480 = 235111997333
BaseRepresentation
bin100110010001010…
…101001100101000
31122202011220201102
4212101111030220
52303332434410
6143413540532
721624366002
oct4621251450
91582156642
10642077480
112aa488350
1215b044748
13a303bc05
14613bb372
153b5802a5
hex26455328

642077480 has 64 divisors (see below), whose sum is σ = 1584144000. Its totient is φ = 232277760.

The previous prime is 642077473. The next prime is 642077497. The reversal of 642077480 is 84770246.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83894 + ... + 91226.

It is an arithmetic number, because the mean of its divisors is an integer number (24752250).

Almost surely, 2642077480 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 642077480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792072000).

642077480 is an abundant number, since it is smaller than the sum of its proper divisors (942066520).

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

642077480 is a wasteful number, since it uses less digits than its factorization.

642077480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7554 (or 7550 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 642077480 is about 25339.2478183548. The cubic root of 642077480 is about 862.7053261776.

The spelling of 642077480 in words is "six hundred forty-two million, seventy-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 199 220 398 440 796 995 1592 1990 2189 3980 4378 7333 7960 8756 10945 14666 17512 21890 29332 36665 43780 58664 73330 80663 87560 146660 161326 293320 322652 403315 645304 806630 1459267 1613260 2918534 3226520 5837068 7296335 11674136 14592670 16051937 29185340 32103874 58370680 64207748 80259685 128415496 160519370 321038740 642077480