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53315040 = 2535313583
BaseRepresentation
bin1100101101100…
…0010111100000
310201022200111010
43023120113200
5102122040130
65142420520
71215112302
oct313302740
9121280433
1053315040
1128105419
1215a31740
13b07927c
14711b972
154a320b0
hex32d85e0

53315040 has 96 divisors (see below), whose sum is σ = 173408256. Its totient is φ = 13754880.

The previous prime is 53315033. The next prime is 53315051. The reversal of 53315040 is 4051335.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 53314998 and 53315016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13089 + ... + 16671.

It is an arithmetic number, because the mean of its divisors is an integer number (1806336).

Almost surely, 253315040 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 53315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86704128).

53315040 is an abundant number, since it is smaller than the sum of its proper divisors (120093216).

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

53315040 is a wasteful number, since it uses less digits than its factorization.

53315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 53315040 is about 7301.7148670706. The cubic root of 53315040 is about 376.3713699166.

Adding to 53315040 its reverse (4051335), we get a palindrome (57366375).

The spelling of 53315040 in words is "fifty-three million, three hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3583 3720 4960 7166 7440 10749 14332 14880 17915 21498 28664 35830 42996 53745 57328 71660 85992 107490 111073 114656 143320 171984 214980 222146 286640 333219 343968 429960 444292 555365 573280 666438 859920 888584 1110730 1332876 1666095 1719840 1777168 2221460 2665752 3332190 3554336 4442920 5331504 6664380 8885840 10663008 13328760 17771680 26657520 53315040