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64228416 = 263726827
BaseRepresentation
bin1111010100000…
…0110001000000
311110212010211020
43311000301000
5112420302131
610212345440
71406634600
oct365006100
9143763736
1064228416
113328983a
1219615280
13103ca7a5
14875cc00
15598a996
hex3d40c40

64228416 has 84 divisors (see below), whose sum is σ = 197711568. Its totient is φ = 18348288.

The previous prime is 64228399. The next prime is 64228429. The reversal of 64228416 is 61482246.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5995 + ... + 12821.

Almost surely, 264228416 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 64228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98855784).

64228416 is an abundant number, since it is smaller than the sum of its proper divisors (133483152).

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

64228416 is a wasteful number, since it uses less digits than its factorization.

64228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6839 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 64228416 is about 8014.2632849190. The cubic root of 64228416 is about 400.4753016638.

The spelling of 64228416 in words is "sixty-four million, two hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 6827 9408 13654 20481 27308 40962 47789 54616 81924 95578 109232 143367 163848 191156 218464 286734 327696 334523 382312 436928 573468 655392 669046 764624 1003569 1146936 1310784 1338092 1529248 2007138 2293872 2676184 3058496 4014276 4587744 5352368 8028552 9175488 10704736 16057104 21409472 32114208 64228416