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612066432 = 27323371873
BaseRepresentation
bin100100011110110…
…110010010000000
31120122201012022010
4210132312102000
52223142111212
6140422412520
721111323145
oct4436662200
91518635263
10612066432
1129454a62a
12150b91140
1399a61bb3
145b4083cc
1538b0303c
hex247b6480

612066432 has 128 divisors (see below), whose sum is σ = 1743269760. Its totient is φ = 189775872.

The previous prime is 612066407. The next prime is 612066443. The reversal of 612066432 is 234660216.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 612066432.

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, 325848 + ... + 327720.

It is an arithmetic number, because the mean of its divisors is an integer number (13619295).

Almost surely, 2612066432 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 612066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871634880).

612066432 is an abundant number, since it is smaller than the sum of its proper divisors (1131203328).

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

612066432 is a wasteful number, since it uses less digits than its factorization.

612066432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 612066432 is about 24739.9763944916. The cubic root of 612066432 is about 849.0491938071.

The spelling of 612066432 in words is "six hundred twelve million, sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 74 92 96 111 128 138 148 184 192 222 276 296 368 384 444 552 592 736 851 888 1104 1184 1472 1702 1776 1873 2208 2368 2553 2944 3404 3552 3746 4416 4736 5106 5619 6808 7104 7492 8832 10212 11238 13616 14208 14984 20424 22476 27232 29968 40848 43079 44952 54464 59936 69301 81696 86158 89904 108928 119872 129237 138602 163392 172316 179808 207903 239744 258474 277204 326784 344632 359616 415806 516948 554408 689264 719232 831612 1033896 1108816 1378528 1593923 1663224 2067792 2217632 2757056 3187846 3326448 4135584 4435264 4781769 5514112 6375692 6652896 8271168 8870528 9563538 12751384 13305792 16542336 19127076 25502768 26611584 38254152 51005536 76508304 102011072 153016608 204022144 306033216 612066432