Search a number
-
+
897753312 = 25324372493
BaseRepresentation
bin110101100000101…
…010000011100000
32022120021121000200
4311200222003200
53314311101222
6225025545200
731150530411
oct6540520340
92276247020
10897753312
11420838395
122107a5200
13113cbaba1
1487333808
1553c35eac
hex3582a0e0

897753312 has 72 divisors (see below), whose sum is σ = 2612393784. Its totient is φ = 292287744.

The previous prime is 897753281. The next prime is 897753313. The reversal of 897753312 is 213357798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×8977533122 = 1611922018413938688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897753313) by changing a digit.

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

It is an upside-down number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23863 + ... + 48630.

It is an arithmetic number, because the mean of its divisors is an integer number (36283247).

Almost surely, 2897753312 is an apocalyptic number.

It is an amenable number.

897753312 is an abundant number, since it is smaller than the sum of its proper divisors (1714640472).

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

897753312 is a wasteful number, since it uses less digits than its factorization.

897753312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72552 (or 72541 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 897753312 is about 29962.5318022359. The cubic root of 897753312 is about 964.6853250171.

The spelling of 897753312 in words is "eight hundred ninety-seven million, seven hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 72493 144986 217479 289972 434958 579944 652437 869916 1159888 1304874 1739832 2319776 2609748 3117199 3479664 5219496 6234398 6959328 9351597 10438992 12468796 18703194 20877984 24937592 28054791 37406388 49875184 56109582 74812776 99750368 112219164 149625552 224438328 299251104 448876656 897753312