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2031542928 = 2432191136571
BaseRepresentation
bin111100100010110…
…1110001010010000
312020120201001222200
41321011232022100
513130033333203
6533331003200
7101225554452
oct17105561220
95216631880
102031542928
119528312a8
12488439500
13264b6c70c
14153b4a2d2
15bd5439a3
hex7916e290

2031542928 has 120 divisors (see below), whose sum is σ = 6038616480. Its totient is φ = 635765760.

The previous prime is 2031542923. The next prime is 2031542939. The reversal of 2031542928 is 8292451302.

It is a happy number.

2031542928 is a `hidden beast` number, since 20 + 3 + 1 + 542 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2031542892 and 2031542901.

It is not an unprimeable number, because it can be changed into a prime (2031542921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305883 + ... + 312453.

It is an arithmetic number, because the mean of its divisors is an integer number (50321804).

Almost surely, 22031542928 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 2031542928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019308240).

2031542928 is an abundant number, since it is smaller than the sum of its proper divisors (4007073552).

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

2031542928 is a wasteful number, since it uses less digits than its factorization.

2031542928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6717 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2031542928 is about 45072.6405705279. The cubic root of 2031542928 is about 1266.5101303634.

The spelling of 2031542928 in words is "two billion, thirty-one million, five hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 113 114 144 152 171 226 228 304 339 342 452 456 678 684 904 912 1017 1356 1368 1808 2034 2147 2712 2736 4068 4294 5424 6441 6571 8136 8588 12882 13142 16272 17176 19323 19713 25764 26284 34352 38646 39426 51528 52568 59139 77292 78852 103056 105136 118278 124849 154584 157704 236556 249698 309168 315408 374547 473112 499396 742523 749094 946224 998792 1123641 1485046 1498188 1997584 2227569 2247282 2970092 2996376 4455138 4494564 5940184 5992752 6682707 8910276 8989128 11880368 13365414 14107937 17820552 17978256 26730828 28215874 35641104 42323811 53461656 56431748 84647622 106923312 112863496 126971433 169295244 225726992 253942866 338590488 507885732 677180976 1015771464 2031542928