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2028276984 = 233599714767
BaseRepresentation
bin111100011100101…
…0000110011111000
312020100120010221210
41320321100303320
513123214330414
6533133003120
7101156032656
oct17071206370
95210503853
102028276984
11950a00578
124873234a0
13264297cc6
14153539dd6
15bd0eae59
hex78e50cf8

2028276984 has 64 divisors (see below), whose sum is σ = 5210150400. Its totient is φ = 657736704.

The previous prime is 2028276983. The next prime is 2028277003. The reversal of 2028276984 is 4896728202.

It is a super-2 number, since 2×20282769842 = 8227815047648272512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028276983) 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, 129969 + ... + 144735.

It is an arithmetic number, because the mean of its divisors is an integer number (81408600).

Almost surely, 22028276984 is an apocalyptic number.

2028276984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028276984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605075200).

2028276984 is an abundant number, since it is smaller than the sum of its proper divisors (3181873416).

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

2028276984 is a wasteful number, since it uses less digits than its factorization.

2028276984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14932 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2028276984 is about 45036.3962146174. The cubic root of 2028276984 is about 1265.8310783905.

The spelling of 2028276984 in words is "two billion, twenty-eight million, two hundred seventy-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 59 97 118 177 194 236 291 354 388 472 582 708 776 1164 1416 2328 5723 11446 14767 17169 22892 29534 34338 44301 45784 59068 68676 88602 118136 137352 177204 354408 871253 1432399 1742506 2613759 2864798 3485012 4297197 5227518 5729596 6970024 8594394 10455036 11459192 17188788 20910072 34377576 84511541 169023082 253534623 338046164 507069246 676092328 1014138492 2028276984