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916916028 = 223727919739
BaseRepresentation
bin110110101001110…
…000011100111100
32100220100011022220
4312221300130330
53334212303103
6230552405340
731502441400
oct6651603474
92326304286
10916916028
11430636646
122170a6850
13117c6a182
1489ac1100
155576dc53
hex36a7073c

916916028 has 72 divisors (see below), whose sum is σ = 2520403200. Its totient is φ = 258646752.

The previous prime is 916916017. The next prime is 916916053. The reversal of 916916028 is 820619619.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36583 + ... + 56321.

It is an arithmetic number, because the mean of its divisors is an integer number (35005600).

Almost surely, 2916916028 is an apocalyptic number.

916916028 is a gapful number since it is divisible by the number (98) 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 916916028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260201600).

916916028 is an abundant number, since it is smaller than the sum of its proper divisors (1603487172).

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

916916028 is a wasteful number, since it uses less digits than its factorization.

916916028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19839 (or 19830 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 916916028 is about 30280.6213278394. The cubic root of 916916028 is about 971.5008572054.

The spelling of 916916028 in words is "nine hundred sixteen million, nine hundred sixteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 147 158 196 237 294 316 474 553 588 948 1106 1659 2212 3318 3871 6636 7742 11613 15484 19739 23226 39478 46452 59217 78956 118434 138173 236868 276346 414519 552692 829038 967211 1559381 1658076 1934422 2901633 3118762 3868844 4678143 5803266 6237524 9356286 10915667 11606532 18712572 21831334 32747001 43662668 65494002 76409669 130988004 152819338 229229007 305638676 458458014 916916028