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54760368 = 24313127691
BaseRepresentation
bin1101000011100…
…1001110110000
310211001010002210
43100321032300
5103004312433
65233412120
71233312135
oct320711660
9124033083
1054760368
1128a02303
121640a040
13b4640b0
1473b658c
154c1a463
hex34393b0

54760368 has 80 divisors (see below), whose sum is σ = 153767936. Its totient is φ = 16692480.

The previous prime is 54760361. The next prime is 54760369. The reversal of 54760368 is 86306745.

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

It is not an unprimeable number, because it can be changed into a prime (54760361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78903 + ... + 79593.

Almost surely, 254760368 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 54760368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76883968).

54760368 is an abundant number, since it is smaller than the sum of its proper divisors (99007568).

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

54760368 is a wasteful number, since it uses less digits than its factorization.

54760368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 54760368 is about 7400.0248648231. The cubic root of 54760368 is about 379.7421334549.

The spelling of 54760368 in words is "fifty-four million, seven hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 208 254 312 381 508 624 691 762 1016 1382 1524 1651 2032 2073 2764 3048 3302 4146 4953 5528 6096 6604 8292 8983 9906 11056 13208 16584 17966 19812 26416 26949 33168 35932 39624 53898 71864 79248 87757 107796 143728 175514 215592 263271 351028 431184 526542 702056 1053084 1140841 1404112 2106168 2281682 3422523 4212336 4563364 6845046 9126728 13690092 18253456 27380184 54760368