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512196816 = 24379293461
BaseRepresentation
bin11110100001111…
…000000011010000
31022200210021221110
4132201320003100
52022110244231
6122454053320
715456413115
oct3641700320
91280707843
10512196816
1124313805a
1212364a240
1382165851
144c04c90c
152ee77046
hex1e8780d0

512196816 has 80 divisors (see below), whose sum is σ = 1347413760. Its totient is φ = 167631360.

The previous prime is 512196793. The next prime is 512196827. The reversal of 512196816 is 618691215.

It is a congruent number.

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, 1110826 + ... + 1111286.

It is an arithmetic number, because the mean of its divisors is an integer number (16842672).

Almost surely, 2512196816 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 512196816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673706880).

512196816 is an abundant number, since it is smaller than the sum of its proper divisors (835216944).

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

512196816 is a wasteful number, since it uses less digits than its factorization.

512196816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 838 counting only the distinct ones).

The product of its digits is 25920, while the sum is 39.

The square root of 512196816 is about 22631.7656403560. The cubic root of 512196816 is about 800.1024952012.

The spelling of 512196816 in words is "five hundred twelve million, one hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 293 316 461 474 586 632 879 922 948 1172 1264 1383 1758 1844 1896 2344 2766 3516 3688 3792 4688 5532 7032 7376 11064 14064 22128 23147 36419 46294 69441 72838 92588 109257 135073 138882 145676 185176 218514 270146 277764 291352 370352 405219 437028 540292 555528 582704 810438 874056 1080584 1111056 1620876 1748112 2161168 3241752 6483504 10670767 21341534 32012301 42683068 64024602 85366136 128049204 170732272 256098408 512196816