Search a number
-
+
746764928 = 27713611051
BaseRepresentation
bin101100100000101…
…011101010000000
31221001011120220022
4230200223222000
53012132434203
6202033433012
724335253140
oct5440535200
91831146808
10746764928
113535905a8
1218a10b768
13bb934150
147126c920
154585da38
hex2c82ba80

746764928 has 128 divisors (see below), whose sum is σ = 1862797440. Its totient is φ = 290304000.

The previous prime is 746764919. The next prime is 746764937. The reversal of 746764928 is 829467647.

It is a Cunningham number, because it is equal to 273272-1.

It is an interprime number because it is at equal distance from previous prime (746764919) and next prime (746764937).

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

Its product of digits (4064256) is a multiple of the sum of its prime divisors (1134).

It is a self number, because there is not a number n which added to its sum of digits gives 746764928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710003 + ... + 711053.

It is an arithmetic number, because the mean of its divisors is an integer number (14553105).

Almost surely, 2746764928 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 746764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931398720).

746764928 is an abundant number, since it is smaller than the sum of its proper divisors (1116032512).

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

746764928 is a wasteful number, since it uses less digits than its factorization.

746764928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1134 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 53.

The square root of 746764928 is about 27326.9999817031. Note that the first 4 decimals coincide. The cubic root of 746764928 is about 907.2520767603.

The spelling of 746764928 in words is "seven hundred forty-six million, seven hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 61 64 91 104 112 122 128 182 208 224 244 364 416 427 448 488 728 793 832 854 896 976 1051 1456 1586 1664 1708 1952 2102 2912 3172 3416 3904 4204 5551 5824 6344 6832 7357 7808 8408 11102 11648 12688 13663 13664 14714 16816 22204 25376 27326 27328 29428 33632 44408 50752 54652 54656 58856 64111 67264 88816 95641 101504 109304 117712 128222 134528 177632 191282 218608 235424 256444 355264 382564 437216 448777 470848 512888 710528 765128 833443 874432 897554 941696 1025776 1530256 1666886 1748864 1795108 2051552 3060512 3333772 3590216 4103104 5834101 6121024 6667544 7180432 8206208 11668202 12242048 13335088 14360864 23336404 26670176 28721728 46672808 53340352 57443456 93345616 106680704 186691232 373382464 746764928