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54428976 = 2433741439
BaseRepresentation
bin1100111110100…
…0010100110000
310210102021112000
43033220110300
5102413211401
65222334000
71230432030
oct317502460
9123367460
1054428976
11287a6328
121628a300
13b3792c4
14732b8c0
154ba2186
hex33e8530

54428976 has 160 divisors (see below), whose sum is σ = 183321600. Its totient is φ = 15137280.

The previous prime is 54428947. The next prime is 54428989. The reversal of 54428976 is 67982445.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (483840) is a multiple of the sum of its prime factors (504).

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, 123765 + ... + 124203.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 254428976 is an apocalyptic number.

54428976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54428976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91660800).

54428976 is an abundant number, since it is smaller than the sum of its proper divisors (128892624).

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

54428976 is a wasteful number, since it uses less digits than its factorization.

54428976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 54428976 is about 7377.5996096291. The cubic root of 54428976 is about 378.9745575521.

The spelling of 54428976 in words is "fifty-four million, four hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 82 84 108 112 123 126 144 164 168 189 216 246 252 287 328 336 369 378 432 439 492 504 574 656 738 756 861 878 984 1008 1107 1148 1317 1476 1512 1722 1756 1968 2214 2296 2583 2634 2952 3024 3073 3444 3512 3951 4428 4592 5166 5268 5904 6146 6888 7024 7749 7902 8856 9219 10332 10536 11853 12292 13776 15498 15804 17712 17999 18438 20664 21072 23706 24584 27657 30996 31608 35998 36876 41328 47412 49168 53997 55314 61992 63216 71996 73752 82971 94824 107994 110628 123984 125993 143992 147504 161991 165942 189648 215988 221256 251986 287984 323982 331884 377979 431976 442512 485973 503972 647964 663768 755958 863952 971946 1007944 1133937 1295928 1327536 1511916 1943892 2015888 2267874 2591856 3023832 3401811 3887784 4535748 6047664 6803622 7775568 9071496 13607244 18142992 27214488 54428976