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54530496 = 263467157
BaseRepresentation
bin1101000000000…
…1000111000000
310210121102210000
43100001013000
5102424433441
65224440000
71231334016
oct320010700
9123542700
1054530496
1128865629
1216319000
13b3b3587
1473568b6
154bc22b6
hex34011c0

54530496 has 140 divisors (see below), whose sum is σ = 165103048. Its totient is φ = 17791488.

The previous prime is 54530477. The next prime is 54530507. The reversal of 54530496 is 69403545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54530496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 347250 + ... + 347406.

Almost surely, 254530496 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 54530496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82551524).

54530496 is an abundant number, since it is smaller than the sum of its proper divisors (110572552).

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

54530496 is a wasteful number, since it uses less digits than its factorization.

54530496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 54530496 is about 7384.4766910053. The cubic root of 54530496 is about 379.2100301785.

The spelling of 54530496 in words is "fifty-four million, five hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 134 144 157 162 192 201 216 268 288 314 324 402 432 471 536 576 603 628 648 804 864 942 1072 1206 1256 1296 1413 1608 1728 1809 1884 2144 2412 2512 2592 2826 3216 3618 3768 4239 4288 4824 5024 5184 5427 5652 6432 7236 7536 8478 9648 10048 10519 10854 11304 12717 12864 14472 15072 16956 19296 21038 21708 22608 25434 28944 30144 31557 33912 38592 42076 43416 45216 50868 57888 63114 67824 84152 86832 90432 94671 101736 115776 126228 135648 168304 173664 189342 203472 252456 271296 284013 336608 347328 378684 406944 504912 568026 673216 757368 813888 852039 1009824 1136052 1514736 1704078 2019648 2272104 3029472 3408156 4544208 6058944 6816312 9088416 13632624 18176832 27265248 54530496