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5351976 = 2332723741
BaseRepresentation
bin10100011010101000101000
3101001220112100
4110122220220
52332230401
6310413400
763330300
oct24325050
911056470
105351976
113026023
121961260
131155066
149d4600
1570ab86
hex51aa28

5351976 has 144 divisors (see below), whose sum is σ = 17739540. Its totient is φ = 1451520.

The previous prime is 5351971. The next prime is 5352001. The reversal of 5351976 is 6791535.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5336100 + 15876 = 2310^2 + 126^2 .

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

Its product of digits (28350) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 5351976.

It is not an unprimeable number, because it can be changed into a prime (5351971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130516 + ... + 130556.

Almost surely, 25351976 is an apocalyptic number.

5351976 is a gapful number since it is divisible by the number (56) 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 5351976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869770).

5351976 is an abundant number, since it is smaller than the sum of its proper divisors (12387564).

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

5351976 is a wasteful number, since it uses less digits than its factorization.

5351976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 5351976 is about 2313.4338114586. The cubic root of 5351976 is about 174.9194295775.

The spelling of 5351976 in words is "five million, three hundred fifty-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 41 42 49 56 63 72 74 82 84 98 111 123 126 147 148 164 168 196 222 246 252 259 287 294 296 328 333 369 392 441 444 492 504 518 574 588 666 738 777 861 882 888 984 1036 1148 1176 1332 1476 1517 1554 1722 1764 1813 2009 2072 2296 2331 2583 2664 2952 3034 3108 3444 3528 3626 4018 4551 4662 5166 5439 6027 6068 6216 6888 7252 8036 9102 9324 10332 10619 10878 12054 12136 13653 14504 16072 16317 18081 18204 18648 20664 21238 21756 24108 27306 31857 32634 36162 36408 42476 43512 48216 54612 63714 65268 72324 74333 84952 95571 109224 127428 130536 144648 148666 191142 222999 254856 297332 382284 445998 594664 668997 764568 891996 1337994 1783992 2675988 5351976