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54004764 = 223111961353
BaseRepresentation
bin1100111000000…
…0110000011100
310202121201121110
43032000300130
5102311123024
65205302020
71224014202
oct316006034
9122551543
1054004764
1128536640
1216104910
13b25b1a8
14725b072
154b1b629
hex3380c1c

54004764 has 96 divisors (see below), whose sum is σ = 147490560. Its totient is φ = 15206400.

The previous prime is 54004723. The next prime is 54004771. The reversal of 54004764 is 46740045.

It is a zygodrome in base 2.

It is a congruent number.

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, 152812 + ... + 153164.

It is an arithmetic number, because the mean of its divisors is an integer number (1536360).

Almost surely, 254004764 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 54004764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73745280).

54004764 is an abundant number, since it is smaller than the sum of its proper divisors (93485796).

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

54004764 is a wasteful number, since it uses less digits than its factorization.

54004764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 54004764 is about 7348.7933703432. The cubic root of 54004764 is about 377.9874299451.

The spelling of 54004764 in words is "fifty-four million, four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 61 66 76 114 122 132 183 209 228 244 353 366 418 627 671 706 732 836 1059 1159 1254 1342 1412 2013 2118 2318 2508 2684 3477 3883 4026 4236 4636 6707 6954 7766 8052 11649 12749 13414 13908 15532 20121 21533 23298 25498 26828 38247 40242 43066 46596 50996 64599 73777 76494 80484 86132 129198 147554 152988 221331 236863 258396 295108 409127 442662 473726 710589 818254 885324 947452 1227381 1421178 1636508 2454762 2842356 4500397 4909524 9000794 13501191 18001588 27002382 54004764