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891225738 = 2321329612153
BaseRepresentation
bin110101000111110…
…000011010001010
32022002222221212200
4311013300122022
53311123210423
6224234021030
731041202524
oct6507603212
92262887780
10891225738
1141808a0a7
1220a577776
13112843a10
1486514a14
1553396d43
hex351f068a

891225738 has 96 divisors (see below), whose sum is σ = 2187516240. Its totient is φ = 260305920.

The previous prime is 891225737. The next prime is 891225763. The reversal of 891225738 is 837522198.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1814409 + 889411329 = 1347^2 + 29823^2 .

It is a junction number, because it is equal to n+sod(n) for n = 891225693 and 891225702.

It is not an unprimeable number, because it can be changed into a prime (891225737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412870 + ... + 415022.

Almost surely, 2891225738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 891225738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093758120).

891225738 is an abundant number, since it is smaller than the sum of its proper divisors (1296290502).

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

891225738 is a wasteful number, since it uses less digits than its factorization.

891225738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2261 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 891225738 is about 29853.4041275028. The cubic root of 891225738 is about 962.3415561531.

The spelling of 891225738 in words is "eight hundred ninety-one million, two hundred twenty-five thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 61 78 87 117 122 174 183 234 261 366 377 522 549 754 793 1098 1131 1586 1769 2153 2262 2379 3393 3538 4306 4758 5307 6459 6786 7137 10614 12918 14274 15921 19377 22997 27989 31842 38754 45994 55978 62437 68991 83967 124874 131333 137982 167934 187311 206973 251901 262666 374622 393999 413946 503802 561933 787998 811681 1123866 1181997 1623362 1707329 2363994 2435043 3414658 3808657 4870086 5121987 7305129 7617314 10243974 11425971 14610258 15365961 22851942 30731922 34277913 49512541 68555826 99025082 148537623 297075246 445612869 891225738