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493878072 = 233374571217
BaseRepresentation
bin11101011011111…
…111101100111000
31021102022121100110
4131123333230320
52002413044242
6121001304320
715144615522
oct3533775470
91242277313
10493878072
112338659a6
121194950a0
137b42075c
1449840a12
152d55939c
hex1d6ffb38

493878072 has 64 divisors (see below), whose sum is σ = 1271884320. Its totient is φ = 159694848.

The previous prime is 493878071. The next prime is 493878079. The reversal of 493878072 is 270878394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493878071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405208 + ... + 406424.

Almost surely, 2493878072 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 493878072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635942160).

493878072 is an abundant number, since it is smaller than the sum of its proper divisors (778006248).

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

493878072 is a wasteful number, since it uses less digits than its factorization.

493878072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 493878072 is about 22223.3677015883. The cubic root of 493878072 is about 790.4478964170.

The spelling of 493878072 in words is "four hundred ninety-three million, eight hundred seventy-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 457 888 914 1217 1371 1828 2434 2742 3651 3656 4868 5484 7302 9736 10968 14604 16909 29208 33818 45029 50727 67636 90058 101454 135087 135272 180116 202908 270174 360232 405816 540348 556169 1080696 1112338 1668507 2224676 3337014 4449352 6674028 13348056 20578253 41156506 61734759 82313012 123469518 164626024 246939036 493878072