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296925408 = 253213711117
BaseRepresentation
bin10001101100101…
…011100011100000
3202200201101002100
4101230223203200
51102003103113
645244050400
710233552513
oct2154534340
9680641070
10296925408
111426744aa
1283533a00
1349692510
142b612d7a
151b102d73
hex11b2b8e0

296925408 has 144 divisors (see below), whose sum is σ = 922967136. Its totient is φ = 89994240.

The previous prime is 296925389. The next prime is 296925437. The reversal of 296925408 is 804529692.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265266 + ... + 266382.

It is an arithmetic number, because the mean of its divisors is an integer number (6409494).

Almost surely, 2296925408 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 296925408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461483568).

296925408 is an abundant number, since it is smaller than the sum of its proper divisors (626041728).

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

296925408 is a wasteful number, since it uses less digits than its factorization.

296925408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 296925408 is about 17231.5236702968. The cubic root of 296925408 is about 667.1381668971.

The spelling of 296925408 in words is "two hundred ninety-six million, nine hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 71 72 78 96 104 117 142 144 156 208 213 234 284 288 312 416 426 468 568 624 639 852 923 936 1117 1136 1248 1278 1704 1846 1872 2234 2272 2556 2769 3351 3408 3692 3744 4468 5112 5538 6702 6816 7384 8307 8936 10053 10224 11076 13404 14521 14768 16614 17872 20106 20448 22152 26808 29042 29536 33228 35744 40212 43563 44304 53616 58084 66456 79307 80424 87126 88608 107232 116168 130689 132912 158614 160848 174252 232336 237921 261378 265824 317228 321696 348504 464672 475842 522756 634456 697008 713763 951684 1030991 1045512 1268912 1394016 1427526 1903368 2061982 2091024 2537824 2855052 3092973 3806736 4123964 4182048 5710104 6185946 7613472 8247928 9278919 11420208 12371892 16495856 18557838 22840416 24743784 32991712 37115676 49487568 74231352 98975136 148462704 296925408