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896873256 = 233329672137
BaseRepresentation
bin110101011101010…
…011001100101000
32022111121212211000
4311131103030220
53314044421011
6224555035000
731140203556
oct6535231450
92274555730
10896873256
11420297174
1221043ba60
13113a70446
1487184bd6
1553b10356
hex35753328

896873256 has 128 divisors (see below), whose sum is σ = 2616912000. Its totient is φ = 284207616.

The previous prime is 896873249. The next prime is 896873287. The reversal of 896873256 is 652378698.

It is a happy number.

896873256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418620 + ... + 420756.

It is an arithmetic number, because the mean of its divisors is an integer number (20444625).

Almost surely, 2896873256 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 896873256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308456000).

896873256 is an abundant number, since it is smaller than the sum of its proper divisors (1720038744).

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

896873256 is a wasteful number, since it uses less digits than its factorization.

896873256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2238 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 896873256 is about 29947.8422595018. The cubic root of 896873256 is about 964.3699990948.

The spelling of 896873256 in words is "eight hundred ninety-six million, eight hundred seventy-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 67 72 87 108 116 134 174 201 216 232 261 268 348 402 522 536 603 696 783 804 1044 1206 1566 1608 1809 1943 2088 2137 2412 3132 3618 3886 4274 4824 5829 6264 6411 7236 7772 8548 11658 12822 14472 15544 17096 17487 19233 23316 25644 34974 38466 46632 51288 52461 57699 61973 69948 76932 104922 115398 123946 139896 143179 153864 185919 209844 230796 247892 286358 371838 419688 429537 461592 495784 557757 572716 743676 859074 1115514 1145432 1288611 1487352 1673271 1718148 2231028 2577222 3346542 3436296 3865833 4152191 4462056 5154444 6693084 7731666 8304382 10308888 12456573 13386168 15463332 16608764 24913146 30926664 33217528 37369719 49826292 74739438 99652584 112109157 149478876 224218314 298957752 448436628 896873256