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54534942 = 2327311273
BaseRepresentation
bin1101000000001…
…0001100011110
310210121122212200
43100002030132
5102430104232
65224512330
71231353000
oct320021436
9123548780
1054534942
1128868a00
121631b6a6
13b3b55c7
147358370
154bc377c
hex340231e

54534942 has 144 divisors (see below), whose sum is σ = 153535200. Its totient is φ = 13970880.

The previous prime is 54534937. The next prime is 54534947. The reversal of 54534942 is 24943545.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54534937) and next prime (54534947).

Its product of digits (86400) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 54534897 and 54534906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54534947) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 747018 + ... + 747090.

Almost surely, 254534942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54534942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76767600).

54534942 is an abundant number, since it is smaller than the sum of its proper divisors (99000258).

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

54534942 is a wasteful number, since it uses less digits than its factorization.

54534942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 54534942 is about 7384.7777217734. Note that the first 4 decimals coincide. The cubic root of 54534942 is about 379.2203358613.

The spelling of 54534942 in words is "fifty-four million, five hundred thirty-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 73 77 98 99 121 126 146 147 154 198 219 231 242 294 343 363 438 441 462 511 539 657 686 693 726 803 847 882 1022 1029 1078 1089 1314 1386 1533 1606 1617 1694 2058 2178 2409 2541 3066 3087 3234 3577 3773 4599 4818 4851 5082 5621 5929 6174 7154 7227 7546 7623 8833 9198 9702 10731 11242 11319 11858 14454 15246 16863 17666 17787 21462 22638 25039 26499 32193 33726 33957 35574 39347 41503 50078 50589 52998 53361 61831 64386 67914 75117 78694 79497 83006 101178 106722 118041 123662 124509 150234 158994 185493 225351 236082 249018 275429 354123 370986 373527 432817 450702 550858 556479 708246 747054 826287 865634 1112958 1298451 1652574 2478861 2596902 3029719 3895353 4957722 6059438 7790706 9089157 18178314 27267471 54534942