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53750304 = 253489233
BaseRepresentation
bin1100110100001…
…0101000100000
310202010210120000
43031002220200
5102230002204
65200020000
71221604266
oct315025040
9122123500
1053750304
1128382443
1216001600
13b19c41a
1471d2436
154abb039
hex3342a20

53750304 has 120 divisors (see below), whose sum is σ = 160540380. Its totient is φ = 17639424.

The previous prime is 53750269. The next prime is 53750309. The reversal of 53750304 is 40305735.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 5475600 = 6948^2 + 2340^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53750309) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230572 + ... + 230804.

Almost surely, 253750304 is an apocalyptic number.

53750304 is a gapful number since it is divisible by the number (54) 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 53750304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80270190).

53750304 is an abundant number, since it is smaller than the sum of its proper divisors (106790076).

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

53750304 is a wasteful number, since it uses less digits than its factorization.

53750304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 53750304 is about 7331.4598819062. The cubic root of 53750304 is about 377.3928271996.

The spelling of 53750304 in words is "fifty-three million, seven hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 89 96 108 144 162 178 216 233 267 288 324 356 432 466 534 648 699 712 801 864 932 1068 1296 1398 1424 1602 1864 2097 2136 2403 2592 2796 2848 3204 3728 4194 4272 4806 5592 6291 6408 7209 7456 8388 8544 9612 11184 12582 12816 14418 16776 18873 19224 20737 22368 25164 25632 28836 33552 37746 38448 41474 50328 57672 62211 67104 75492 76896 82948 100656 115344 124422 150984 165896 186633 201312 230688 248844 301968 331792 373266 497688 559899 603936 663584 746532 995376 1119798 1493064 1679697 1990752 2239596 2986128 3359394 4479192 5972256 6718788 8958384 13437576 17916768 26875152 53750304