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54893940 = 22353779313
BaseRepresentation
bin1101000101100…
…1110101110100
310211021220022220
43101121311310
5103023101230
65240322340
71234406433
oct321316564
9124256286
1054893940
1128a936a2
12164733b0
13b4acb2a
14740d11a
154c44d10
hex3459d74

54893940 has 96 divisors (see below), whose sum is σ = 160366080. Its totient is φ = 14017536.

The previous prime is 54893911. The next prime is 54893941. The reversal of 54893940 is 4939845.

It is a junction number, because it is equal to n+sod(n) for n = 54893892 and 54893901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54893941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175224 + ... + 175536.

It is an arithmetic number, because the mean of its divisors is an integer number (1670480).

Almost surely, 254893940 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 54893940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80183040).

54893940 is an abundant number, since it is smaller than the sum of its proper divisors (105472140).

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

54893940 is a wasteful number, since it uses less digits than its factorization.

54893940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 54893940 is about 7409.0444728048. The cubic root of 54893940 is about 380.0506396041.

The spelling of 54893940 in words is "fifty-four million, eight hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 79 111 148 158 185 222 237 313 316 370 395 444 474 555 626 740 790 939 948 1110 1185 1252 1565 1580 1878 2220 2370 2923 3130 3756 4695 4740 5846 6260 8769 9390 11581 11692 14615 17538 18780 23162 24727 29230 34743 35076 43845 46324 49454 57905 58460 69486 74181 87690 98908 115810 123635 138972 148362 173715 175380 231620 247270 296724 347430 370905 494540 694860 741810 914899 1483620 1829798 2744697 3659596 4574495 5489394 9148990 10978788 13723485 18297980 27446970 54893940