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53885440 = 29573197
BaseRepresentation
bin1100110110001…
…1101000000000
310202101122221001
43031203220000
5102243313230
65202541344
71223006260
oct315435000
9122348831
1053885440
1128464a24
1216067854
13b218a9b
1472297a0
154ae60ca
hex3363a00

53885440 has 160 divisors (see below), whose sum is σ = 153990144. Its totient is φ = 17694720.

The previous prime is 53885437. The next prime is 53885443. The reversal of 53885440 is 4458835.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53885437) and next prime (53885443).

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 53885440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53885443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555472 + ... + 555568.

Almost surely, 253885440 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 53885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995072).

53885440 is an abundant number, since it is smaller than the sum of its proper divisors (100104704).

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

53885440 is an equidigital number, since it uses as much as digits as its factorization.

53885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 53885440 is about 7340.6702691239. The cubic root of 53885440 is about 377.7088358110.

The spelling of 53885440 in words is "fifty-three million, eight hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 97 112 124 128 140 155 160 194 217 224 248 256 280 310 320 388 434 448 485 496 512 560 620 640 679 776 868 896 970 992 1085 1120 1240 1280 1358 1552 1736 1792 1940 1984 2170 2240 2480 2560 2716 3007 3104 3395 3472 3584 3880 3968 4340 4480 4960 5432 6014 6208 6790 6944 7760 7936 8680 8960 9920 10864 12028 12416 13580 13888 15035 15520 15872 17360 17920 19840 21049 21728 24056 24832 27160 27776 30070 31040 34720 39680 42098 43456 48112 49664 54320 55552 60140 62080 69440 79360 84196 86912 96224 105245 108640 111104 120280 124160 138880 168392 173824 192448 210490 217280 240560 248320 277760 336784 347648 384896 420980 434560 481120 555520 673568 769792 841960 869120 962240 1347136 1539584 1683920 1738240 1924480 2694272 3367840 3848960 5388544 6735680 7697920 10777088 13471360 26942720 53885440