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54872840 = 23511311401
BaseRepresentation
bin1101000101010…
…0101100001000
310211020211101102
43101110230020
5103021412330
65240040532
71234261061
oct321245410
9124224342
1054872840
1128a79860
1216463148
13b4a3349
147405568
154c3d945
hex3454b08

54872840 has 64 divisors (see below), whose sum is σ = 135457920. Its totient is φ = 19840000.

The previous prime is 54872833. The next prime is 54872863. The reversal of 54872840 is 4827845.

54872840 = T263 + T264 + ... + T702.

It is a super-2 number, since 2×548728402 = 6022057139331200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54872794 and 54872803.

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, 136640 + ... + 137040.

It is an arithmetic number, because the mean of its divisors is an integer number (2116530).

Almost surely, 254872840 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 54872840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67728960).

54872840 is an abundant number, since it is smaller than the sum of its proper divisors (80585080).

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

54872840 is a wasteful number, since it uses less digits than its factorization.

54872840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 54872840 is about 7407.6204006415. The cubic root of 54872840 is about 380.0019390483.

The spelling of 54872840 in words is "fifty-four million, eight hundred seventy-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 311 401 440 622 802 1244 1555 1604 2005 2488 3110 3208 3421 4010 4411 6220 6842 8020 8822 12440 13684 16040 17105 17644 22055 27368 34210 35288 44110 68420 88220 124711 136840 176440 249422 498844 623555 997688 1247110 1371821 2494220 2743642 4988440 5487284 6859105 10974568 13718210 27436420 54872840