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54379416 = 23372133557
BaseRepresentation
bin1100111101110…
…0001110011000
310210022202112110
43033130032120
5102410120131
65221312320
71230134400
oct317341630
9123282473
1054379416
1128772073
12162656a0
13b35c890
147317800
154b92646
hex33dc398

54379416 has 96 divisors (see below), whose sum is σ = 170357040. Its totient is φ = 14337792.

The previous prime is 54379399. The next prime is 54379417. The reversal of 54379416 is 61497345.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54379417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13510 + ... + 17066.

Almost surely, 254379416 is an apocalyptic number.

54379416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54379416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85178520).

54379416 is an abundant number, since it is smaller than the sum of its proper divisors (115977624).

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

54379416 is a wasteful number, since it uses less digits than its factorization.

54379416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3582 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 54379416 is about 7374.2400286402. The cubic root of 54379416 is about 378.8594982341.

The spelling of 54379416 in words is "fifty-four million, three hundred seventy-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3557 3822 5096 7114 7644 10671 14228 15288 21342 24899 28456 42684 46241 49798 74697 85368 92482 99596 138723 149394 174293 184964 199192 277446 298788 323687 348586 369928 522879 554892 597576 647374 697172 971061 1045758 1109784 1294748 1394344 1942122 2091516 2265809 2589496 3884244 4183032 4531618 6797427 7768488 9063236 13594854 18126472 27189708 54379416