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54376480 = 2551931577
BaseRepresentation
bin1100111101101…
…1100000100000
310210022121111201
43033123200200
5102410021410
65221250544
71230123004
oct317334040
9123277451
1054376480
112876a944
1216263a54
13b35b442
147316704
154b9183a
hex33db820

54376480 has 96 divisors (see below), whose sum is σ = 139829760. Its totient is φ = 19906560.

The previous prime is 54376471. The next prime is 54376493. The reversal of 54376480 is 8467345.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93952 + ... + 94528.

It is an arithmetic number, because the mean of its divisors is an integer number (1456560).

Almost surely, 254376480 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 54376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69914880).

54376480 is an abundant number, since it is smaller than the sum of its proper divisors (85453280).

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

54376480 is a wasteful number, since it uses less digits than its factorization.

54376480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 54376480 is about 7374.0409545920. The cubic root of 54376480 is about 378.8526797748.

The spelling of 54376480 in words is "fifty-four million, three hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 76 80 95 124 152 155 160 190 248 304 310 380 496 577 589 608 620 760 992 1154 1178 1240 1520 2308 2356 2480 2885 2945 3040 4616 4712 4960 5770 5890 9232 9424 10963 11540 11780 17887 18464 18848 21926 23080 23560 35774 43852 46160 47120 54815 71548 87704 89435 92320 94240 109630 143096 175408 178870 219260 286192 339853 350816 357740 438520 572384 679706 715480 877040 1359412 1430960 1699265 1754080 2718824 2861920 3398530 5437648 6797060 10875296 13594120 27188240 54376480