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53890816 = 287172961
BaseRepresentation
bin1100110110010…
…0111100000000
310202101221022011
43031210330000
5102244001231
65203022304
71223031040
oct315447400
9122357264
1053890816
1128468a71
121606a994
13b21b375
14722b720
154ae79b1
hex3364f00

53890816 has 144 divisors (see below), whose sum is σ = 136866240. Its totient is φ = 20643840.

The previous prime is 53890813. The next prime is 53890819. The reversal of 53890816 is 61809835.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53890813) and next prime (53890819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53890813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883426 + ... + 883486.

It is an arithmetic number, because the mean of its divisors is an integer number (950460).

Almost surely, 253890816 is an apocalyptic number.

53890816 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 53890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68433120).

53890816 is an abundant number, since it is smaller than the sum of its proper divisors (82975424).

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

53890816 is a wasteful number, since it uses less digits than its factorization.

53890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 53890816 is about 7341.0364390868. The cubic root of 53890816 is about 377.7213963788.

The spelling of 53890816 in words is "fifty-three million, eight hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 61 64 68 112 116 119 122 128 136 203 224 232 238 244 256 272 406 427 448 464 476 488 493 544 812 854 896 928 952 976 986 1037 1088 1624 1708 1769 1792 1856 1904 1952 1972 2074 2176 3248 3416 3451 3538 3712 3808 3904 3944 4148 4352 6496 6832 6902 7076 7259 7424 7616 7808 7888 8296 12383 12992 13664 13804 14152 14518 15232 15616 15776 16592 24766 25984 27328 27608 28304 29036 30073 30464 31552 33184 49532 51968 54656 55216 56608 58072 60146 63104 66368 99064 109312 110432 113216 116144 120292 126208 132736 198128 210511 220864 226432 232288 240584 265472 396256 421022 441728 452864 464576 481168 792512 842044 883456 929152 962336 1585024 1684088 1858304 1924672 3170048 3368176 3849344 6736352 7698688 13472704 26945408 53890816