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2937206416 = 241727972
BaseRepresentation
bin1010111100010010…
…0011011010010000
321120200212112201211
42233010203122100
522003411101131
61203242305504
7132533562004
oct25704433220
97520775654
102937206416
111277a81721
1269b7b8294
1337a699b81
141dc13c704
15122cdd5b1
hexaf123690

2937206416 has 45 divisors (see below), whose sum is σ = 6052878619. Its totient is φ = 1380480512.

The previous prime is 2937206357. The next prime is 2937206423. The reversal of 2937206416 is 6146027392.

It is a happy number.

The square root of 2937206416 is 54196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 224880016 + 2712326400 = 14996^2 + 52080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3684930 + ... + 3685726.

Almost surely, 22937206416 is an apocalyptic number.

2937206416 is the 54196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2937206416

2937206416 is an abundant number, since it is smaller than the sum of its proper divisors (3115672203).

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

2937206416 is an frugal number, since it uses more digits than its factorization.

2937206416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The cubic root of 2937206416 is about 1432.1158655976.

The spelling of 2937206416 in words is "two billion, nine hundred thirty-seven million, two hundred six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 797 1156 1594 2312 3188 4624 6376 12752 13549 27098 54196 108392 216784 230333 460666 635209 921332 1270418 1842664 2540836 3685328 5081672 10163344 10798553 21597106 43194212 86388424 172776848 183575401 367150802 734301604 1468603208 2937206416