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4926768 = 2437113143
BaseRepresentation
bin10010110010110100110000
3100021022020220
4102302310300
52230124033
6253333040
756606520
oct22626460
910238226
104926768
112865610
121797180
131036662
14923680
15674bb3
hex4b2d30

4926768 has 160 divisors (see below), whose sum is σ = 16760832. Its totient is φ = 1209600.

The previous prime is 4926767. The next prime is 4926791. The reversal of 4926768 is 8676294.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4926767) 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, 114555 + ... + 114597.

Almost surely, 24926768 is an apocalyptic number.

4926768 is a gapful number since it is divisible by the number (48) 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 4926768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380416).

4926768 is an abundant number, since it is smaller than the sum of its proper divisors (11834064).

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

4926768 is a wasteful number, since it uses less digits than its factorization.

4926768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 4926768 is about 2219.6324019981. The cubic root of 4926768 is about 170.1586523531.

It can be divided in two parts, 492 and 6768, that added together give a triangular number (7260 = T120).

The spelling of 4926768 in words is "four million, nine hundred twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 33 42 43 44 48 56 62 66 77 84 86 88 93 112 124 129 132 154 168 172 176 186 217 231 248 258 264 301 308 336 341 344 372 434 462 473 496 516 528 602 616 651 682 688 744 868 903 924 946 1023 1032 1204 1232 1302 1333 1364 1419 1488 1736 1806 1848 1892 2046 2064 2387 2408 2604 2666 2728 2838 3311 3472 3612 3696 3784 3999 4092 4774 4816 5208 5332 5456 5676 6622 7161 7224 7568 7998 8184 9331 9548 9933 10416 10664 11352 13244 14322 14448 14663 15996 16368 18662 19096 19866 21328 22704 26488 27993 28644 29326 31992 37324 38192 39732 43989 52976 55986 57288 58652 63984 74648 79464 87978 102641 111972 114576 117304 149296 158928 175956 205282 223944 234608 307923 351912 410564 447888 615846 703824 821128 1231692 1642256 2463384 4926768