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55162640 = 24513293159
BaseRepresentation
bin1101001001101…
…1011100010000
310211210112220202
43102123130100
5103110201030
65250154332
71236606011
oct322333420
9124715822
1055162640
1129157565
12165829a8
13b575220
14747d008
154c99745
hex349b710

55162640 has 160 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 18708480.

The previous prime is 55162633. The next prime is 55162649. The reversal of 55162640 is 4626155.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (55162649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934931 + ... + 934989.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 255162640 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 55162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

55162640 is an abundant number, since it is smaller than the sum of its proper divisors (94827760).

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

55162640 is a wasteful number, since it uses less digits than its factorization.

55162640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 55162640 is about 7427.1555793588. The cubic root of 55162640 is about 380.6697330593.

Adding to 55162640 its reverse (4626155), we get a palindrome (59788795).

The spelling of 55162640 in words is "fifty-five million, one hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 31 40 52 58 59 62 65 80 104 116 118 124 130 145 155 208 232 236 248 260 290 295 310 377 403 464 472 496 520 580 590 620 754 767 806 899 944 1040 1160 1180 1240 1508 1534 1612 1711 1798 1829 1885 2015 2320 2360 2480 3016 3068 3224 3422 3596 3658 3770 3835 4030 4495 4720 6032 6136 6448 6844 7192 7316 7540 7670 8060 8555 8990 9145 11687 12272 13688 14384 14632 15080 15340 16120 17110 17980 18290 22243 23374 23777 27376 29264 30160 30680 32240 34220 35960 36580 44486 46748 47554 53041 58435 61360 68440 71920 73160 88972 93496 95108 106082 111215 116870 118885 136880 146320 177944 186992 190216 212164 222430 233740 237770 265205 355888 380432 424328 444860 467480 475540 530410 689533 848656 889720 934960 951080 1060820 1379066 1779440 1902160 2121640 2758132 3447665 4243280 5516264 6895330 11032528 13790660 27581320 55162640