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742666248 = 2332711311109
BaseRepresentation
bin101100010001000…
…011000000001000
31220202110100120100
4230101003000020
53010110304443
6201405525400
724255362502
oct5421030010
91822410510
10742666248
11351241165
12188873860
13bab2a6ac
14708c2d72
15452ee3d3
hex2c443008

742666248 has 96 divisors (see below), whose sum is σ = 2057140800. Its totient is φ = 241987200.

The previous prime is 742666237. The next prime is 742666271. The reversal of 742666248 is 842666247.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669118 + ... + 670226.

It is an arithmetic number, because the mean of its divisors is an integer number (21428550).

Almost surely, 2742666248 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 742666248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028570400).

742666248 is an abundant number, since it is smaller than the sum of its proper divisors (1314474552).

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

742666248 is a wasteful number, since it uses less digits than its factorization.

742666248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1316 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 742666248 is about 27251.9035665401. The cubic root of 742666248 is about 905.5891884871.

Subtracting 742666248 from its reverse (842666247), we obtain a palindrome (99999999).

The spelling of 742666248 in words is "seven hundred forty-two million, six hundred sixty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 131 142 213 262 284 393 426 524 568 639 786 852 1048 1109 1179 1278 1572 1704 2218 2358 2556 3144 3327 4436 4716 5112 6654 8872 9301 9432 9981 13308 18602 19962 26616 27903 37204 39924 55806 74408 78739 79848 83709 111612 145279 157478 167418 223224 236217 290558 314956 334836 435837 472434 581116 629912 669672 708651 871674 944868 1162232 1307511 1417302 1743348 1889736 2615022 2834604 3486696 5230044 5669208 10314809 10460088 20629618 30944427 41259236 61888854 82518472 92833281 123777708 185666562 247555416 371333124 742666248