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54903920 = 2451941881
BaseRepresentation
bin1101000101110…
…0010001110000
310211022102000112
43101130101300
5103023411140
65240440452
71234450511
oct321342160
9124272015
1054903920
1128aa0145
1216479128
13b4b4536
147412a08
154c47c65
hex345c470

54903920 has 80 divisors (see below), whose sum is σ = 137803680. Its totient is φ = 20275200.

The previous prime is 54903913. The next prime is 54903923. The reversal of 54903920 is 2930945.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54903923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61880 + ... + 62760.

It is an arithmetic number, because the mean of its divisors is an integer number (1722546).

Almost surely, 254903920 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 54903920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901840).

54903920 is an abundant number, since it is smaller than the sum of its proper divisors (82899760).

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

54903920 is a wasteful number, since it uses less digits than its factorization.

54903920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 54903920 is about 7409.7179433498. The cubic root of 54903920 is about 380.0736699273.

The spelling of 54903920 in words is "fifty-four million, nine hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 41 76 80 82 95 152 164 190 205 304 328 380 410 656 760 779 820 881 1520 1558 1640 1762 3116 3280 3524 3895 4405 6232 7048 7790 8810 12464 14096 15580 16739 17620 31160 33478 35240 36121 62320 66956 70480 72242 83695 133912 144484 167390 180605 267824 288968 334780 361210 577936 669560 686299 722420 1339120 1372598 1444840 2745196 2889680 3431495 5490392 6862990 10980784 13725980 27451960 54903920