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2098355952 = 243711567737
BaseRepresentation
bin111110100010010…
…0101111011110000
312102020102112020010
41331010211323300
513244134342302
6544115014520
7102666505560
oct17504457360
95366375203
102098355952
11987515980
124a689a440
13275963754
1415c97cda0
15c434016c
hex7d125ef0

2098355952 has 80 divisors (see below), whose sum is σ = 6758353152. Its totient is φ = 545026560.

The previous prime is 2098355927. The next prime is 2098355969. The reversal of 2098355952 is 2595538902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280173 + ... + 287564.

Almost surely, 22098355952 is an apocalyptic number.

2098355952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2098355952 is an abundant number, since it is smaller than the sum of its proper divisors (4659997200).

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

2098355952 is a wasteful number, since it uses less digits than its factorization.

2098355952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567766 (or 567760 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 2098355952 is about 45807.8154030510. The cubic root of 2098355952 is about 1280.2448978031.

The spelling of 2098355952 in words is "two billion, ninety-eight million, three hundred fifty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 567737 1135474 1703211 2270948 3406422 3974159 4541896 6245107 6812844 7948318 9083792 11922477 12490214 13625688 15896636 18735321 23844954 24980428 27251376 31793272 37470642 43715749 47689908 49960856 63586544 74941284 87431498 95379816 99921712 131147247 149882568 174862996 190759632 262294494 299765136 349725992 524588988 699451984 1049177976 2098355952