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54941952 = 283135503
BaseRepresentation
bin1101000110010…
…1100100000000
310211101100012010
43101211210000
5103031120302
65241332520
71234666422
oct321454400
9124340163
1054941952
112901677a
1216497140
13b4c8940
147422812
154c5416c
hex3465900

54941952 has 72 divisors (see below), whose sum is σ = 157502464. Its totient is φ = 16902144.

The previous prime is 54941947. The next prime is 54941959. The reversal of 54941952 is 25914945.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 54941952.

It is not an unprimeable number, because it can be changed into a prime (54941959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7233 + ... + 12735.

Almost surely, 254941952 is an apocalyptic number.

54941952 is a gapful number since it is divisible by the number (52) 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 54941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78751232).

54941952 is an abundant number, since it is smaller than the sum of its proper divisors (102560512).

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

54941952 is a wasteful number, since it uses less digits than its factorization.

54941952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5521 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 54941952 is about 7412.2838585688. The cubic root of 54941952 is about 380.1614088079.

The spelling of 54941952 in words is "fifty-four million, nine hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 5503 9984 11006 16509 22012 33018 44024 66036 71539 88048 132072 143078 176096 214617 264144 286156 352192 429234 528288 572312 704384 858468 1056576 1144624 1408768 1716936 2113152 2289248 3433872 4226304 4578496 6867744 9156992 13735488 18313984 27470976 54941952