Search a number
-
+
53833080 = 23357193373
BaseRepresentation
bin1100110101011…
…0110101111000
310202022000002210
43031112311320
5102240124310
65201455120
71222400520
oct315266570
9122260083
1053833080
1128429654
12160414a0
13b1cacc2
147214680
154ad5820
hex3356d78

53833080 has 128 divisors (see below), whose sum is σ = 194342400. Its totient is φ = 11653632.

The previous prime is 53833079. The next prime is 53833097. The reversal of 53833080 is 8033835.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14274 + ... + 17646.

It is an arithmetic number, because the mean of its divisors is an integer number (1518300).

Almost surely, 253833080 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 53833080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97171200).

53833080 is an abundant number, since it is smaller than the sum of its proper divisors (140509320).

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

53833080 is a wasteful number, since it uses less digits than its factorization.

53833080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 53833080 is about 7337.1029705191. The cubic root of 53833080 is about 377.5864573988.

The spelling of 53833080 in words is "fifty-three million, eight hundred thirty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3373 3990 5320 6746 7980 10119 13492 15960 16865 20238 23611 26984 33730 40476 47222 50595 64087 67460 70833 80952 94444 101190 118055 128174 134920 141666 188888 192261 202380 236110 256348 283332 320435 354165 384522 404760 448609 472220 512696 566664 640870 708330 769044 897218 944440 961305 1281740 1345827 1416660 1538088 1794436 1922610 2243045 2563480 2691654 2833320 3588872 3845220 4486090 5383308 6729135 7690440 8972180 10766616 13458270 17944360 26916540 53833080