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54211416 = 23371512137
BaseRepresentation
bin1100111011001…
…1001101011000
310210000020002020
43032303031120
5102334231131
65213534440
71225534530
oct316631530
9123006066
1054211416
1128667926
12161a4420
13b30127c
1472b24c0
154b5c996
hex33b3358

54211416 has 64 divisors (see below), whose sum is σ = 155988480. Its totient is φ = 15379200.

The previous prime is 54211397. The next prime is 54211439. The reversal of 54211416 is 61411245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 24300 + ... + 26436.

It is an arithmetic number, because the mean of its divisors is an integer number (2437320).

Almost surely, 254211416 is an apocalyptic number.

54211416 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 54211416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77994240).

54211416 is an abundant number, since it is smaller than the sum of its proper divisors (101777064).

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

54211416 is a wasteful number, since it uses less digits than its factorization.

54211416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2300 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 54211416 is about 7362.8402128526. The cubic root of 54211416 is about 378.4689457155.

The spelling of 54211416 in words is "fifty-four million, two hundred eleven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 151 168 302 453 604 906 1057 1208 1812 2114 2137 3171 3624 4228 4274 6342 6411 8456 8548 12684 12822 14959 17096 25368 25644 29918 44877 51288 59836 89754 119672 179508 322687 359016 645374 968061 1290748 1936122 2258809 2581496 3872244 4517618 6776427 7744488 9035236 13552854 18070472 27105708 54211416