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2928014416 = 2411313711821
BaseRepresentation
bin1010111010000101…
…1111010001010000
321120001120112200101
42232201133101100
521444032430131
61202313302144
7132362466115
oct25641372120
97501515611
102928014416
111272873628
12698704954
133787cc012
141dac2890c
151220c4c61
hexae85f450

2928014416 has 40 divisors (see below), whose sum is σ = 5765494824. Its totient is φ = 1440337920.

The previous prime is 2928014407. The next prime is 2928014423. The reversal of 2928014416 is 6144108292.

It can be written as a sum of positive squares in 4 ways, for example, as 24960016 + 2903054400 = 4996^2 + 53880^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241786 + ... + 253606.

Almost surely, 22928014416 is an apocalyptic number.

It is an amenable number.

2928014416 is a deficient number, since it is larger than the sum of its proper divisors (2837480408).

2928014416 is a wasteful number, since it uses less digits than its factorization.

2928014416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12079 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2928014416 is about 54111.1302413838. The cubic root of 2928014416 is about 1430.6203668856.

The spelling of 2928014416 in words is "two billion, nine hundred twenty-eight million, fourteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 113 137 226 274 452 548 904 1096 1808 2192 11821 15481 23642 30962 47284 61924 94568 123848 189136 247696 1335773 1619477 2671546 3238954 5343092 6477908 10686184 12955816 21372368 25911632 183000901 366001802 732003604 1464007208 2928014416