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54803952 = 243472863
BaseRepresentation
bin1101000100001…
…1110111110000
310211010022220000
43101003313300
5103012211302
65234350000
71233553200
oct321036760
9124108800
1054803952
1128a32025
121642b300
13b47ab98
1473c8400
154c2831c
hex3443df0

54803952 has 150 divisors (see below), whose sum is σ = 184729248. Its totient is φ = 15640128.

The previous prime is 54803941. The next prime is 54803989. The reversal of 54803952 is 25930845.

54803952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63073 + ... + 63935.

Almost surely, 254803952 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 54803952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92364624).

54803952 is an abundant number, since it is smaller than the sum of its proper divisors (129925296).

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

54803952 is a wasteful number, since it uses less digits than its factorization.

54803952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 54803952 is about 7402.9691340705. The cubic root of 54803952 is about 379.8428528424.

It can be divided in two parts, 54803 and 952, that added together give a palindrome (55755).

The spelling of 54803952 in words is "fifty-four million, eight hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 863 882 1008 1134 1176 1296 1323 1512 1726 1764 2268 2352 2589 2646 3024 3452 3528 3969 4536 5178 5292 6041 6904 7056 7767 7938 9072 10356 10584 12082 13808 15534 15876 18123 20712 21168 23301 24164 31068 31752 36246 41424 42287 46602 48328 54369 62136 63504 69903 72492 84574 93204 96656 108738 124272 126861 139806 144984 163107 169148 186408 217476 253722 279612 289968 326214 338296 372816 380583 434952 489321 507444 559224 652428 676592 761166 869904 978642 1014888 1118448 1141749 1304856 1522332 1957284 2029776 2283498 2609712 3044664 3425247 3914568 4566996 6089328 6850494 7829136 9133992 13700988 18267984 27401976 54803952