Search a number
-
+
776228232 = 233136771523
BaseRepresentation
bin101110010001000…
…100110110001000
32000002121110221210
4232101010312020
53042203300412
6205005133120
725143555033
oct5621046610
92002543853
10776228232
1136918483a
12197b5a1a0
13c4a7ba60
147513c01a
154822d83c
hex2e444d88

776228232 has 128 divisors (see below), whose sum is σ = 2155023360. Its totient is φ = 231517440.

The previous prime is 776228231. The next prime is 776228237. The reversal of 776228232 is 232822677.

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

It is not an unprimeable number, because it can be changed into a prime (776228231) 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, 1483923 + ... + 1484445.

It is an arithmetic number, because the mean of its divisors is an integer number (16836120).

Almost surely, 2776228232 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 776228232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077511680).

776228232 is an abundant number, since it is smaller than the sum of its proper divisors (1378795128).

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

776228232 is a wasteful number, since it uses less digits than its factorization.

776228232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 776228232 is about 27860.8727788632. The cubic root of 776228232 is about 919.0302604846.

The spelling of 776228232 in words is "seven hundred seventy-six million, two hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 71 78 104 134 142 156 201 213 268 284 312 402 426 523 536 568 804 852 871 923 1046 1569 1608 1704 1742 1846 2092 2613 2769 3138 3484 3692 4184 4757 5226 5538 6276 6799 6968 7384 9514 10452 11076 12552 13598 14271 19028 20397 20904 22152 27196 28542 35041 37133 38056 40794 54392 57084 61841 70082 74266 81588 105123 111399 114168 123682 140164 148532 163176 185523 210246 222798 247364 280328 297064 371046 420492 445596 455533 482729 494728 742092 840984 891192 911066 965458 1366599 1448187 1484184 1822132 1930916 2487911 2733198 2896374 3644264 3861832 4975822 5466396 5792748 7463733 9951644 10932792 11585496 14927466 19903288 29854932 32342843 59709864 64685686 97028529 129371372 194057058 258742744 388114116 776228232