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997480032 = 253172157229
BaseRepresentation
bin111011011101000…
…101011001100000
32120111221020100220
4323131011121200
54020323330112
6242551243040
733501304023
oct7335053140
92514836326
10997480032
1147206256a
1223a079480
1312b867193
14966931ba
155c88498c
hex3b745660

997480032 has 144 divisors (see below), whose sum is σ = 2811407760. Its totient is φ = 309583872.

The previous prime is 997480007. The next prime is 997480061. The reversal of 997480032 is 230084799.

997480032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4355694 + ... + 4355922.

It is an arithmetic number, because the mean of its divisors is an integer number (19523665).

Almost surely, 2997480032 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 997480032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405703880).

997480032 is an abundant number, since it is smaller than the sum of its proper divisors (1813927728).

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

997480032 is a wasteful number, since it uses less digits than its factorization.

997480032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 997480032 is about 31582.9072759301. The cubic root of 997480032 is about 999.1593040951.

The spelling of 997480032 in words is "nine hundred ninety-seven million, four hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 157 204 229 272 289 314 408 458 471 544 578 628 687 816 867 916 942 1156 1256 1374 1632 1734 1832 1884 2312 2512 2669 2748 3468 3664 3768 3893 4624 5024 5338 5496 6936 7328 7536 7786 8007 9248 10676 10992 11679 13872 15072 15572 16014 21352 21984 23358 27744 31144 32028 35953 42704 45373 46716 62288 64056 66181 71906 85408 90746 93432 107859 124576 128112 132362 136119 143812 181492 186864 198543 215718 256224 264724 272238 287624 362984 373728 397086 431436 529448 544476 575248 611201 725968 794172 862872 1058896 1088952 1150496 1222402 1451936 1588344 1725744 1833603 2117792 2177904 2444804 3176688 3451488 3667206 4355808 4889608 6353376 7334412 9779216 10390417 14668824 19558432 20780834 29337648 31171251 41561668 58675296 62342502 83123336 124685004 166246672 249370008 332493344 498740016 997480032