Search a number
-
+
53250960 = 24357291093
BaseRepresentation
bin1100101100100…
…0101110010000
310201012102120210
43023020232100
5102113012320
65141204120
71214424420
oct313105620
9121172523
1053250960
1128071264
1215a00640
13b056059
147102480
154a1d0e0
hex32c8b90

53250960 has 160 divisors (see below), whose sum is σ = 195344640. Its totient is φ = 11741184.

The previous prime is 53250947. The next prime is 53250979. The reversal of 53250960 is 6905235.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48174 + ... + 49266.

It is an arithmetic number, because the mean of its divisors is an integer number (1220904).

Almost surely, 253250960 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 53250960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97672320).

53250960 is an abundant number, since it is smaller than the sum of its proper divisors (142093680).

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

53250960 is a wasteful number, since it uses less digits than its factorization.

53250960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 53250960 is about 7297.3255374829. The cubic root of 53250960 is about 376.2205210106.

The spelling of 53250960 in words is "fifty-three million, two hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1093 1160 1218 1392 1624 1680 1740 2030 2186 2320 2436 3045 3248 3279 3480 4060 4372 4872 5465 6090 6558 6960 7651 8120 8744 9744 10930 12180 13116 15302 16240 16395 17488 21860 22953 24360 26232 30604 31697 32790 38255 43720 45906 48720 52464 61208 63394 65580 76510 87440 91812 95091 114765 122416 126788 131160 153020 158485 183624 190182 221879 229530 253576 262320 306040 316970 367248 380364 443758 459060 475455 507152 612080 633940 665637 760728 887516 918120 950910 1109395 1267880 1331274 1521456 1775032 1836240 1901820 2218790 2535760 2662548 3328185 3550064 3803640 4437580 5325096 6656370 7607280 8875160 10650192 13312740 17750320 26625480 53250960