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97029856 = 2571153743
BaseRepresentation
bin1011100100010…
…00111011100000
320202120121221101
411302020323200
5144314423411
613343404144
72255511610
oct562107340
9222517841
1097029856
114a852a70
12285b3654
1317143921
14cc5aa40
1587b98c1
hex5c88ee0

97029856 has 96 divisors (see below), whose sum is σ = 242984448. Its totient is φ = 37040640.

The previous prime is 97029851. The next prime is 97029859. The reversal of 97029856 is 65892079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97029851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130221 + ... + 130963.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 297029856 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 97029856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121492224).

97029856 is an abundant number, since it is smaller than the sum of its proper divisors (145954592).

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

97029856 is a wasteful number, since it uses less digits than its factorization.

97029856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 97029856 is about 9850.3733939379. The cubic root of 97029856 is about 459.5172250688.

The spelling of 97029856 in words is "ninety-seven million, twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 77 88 106 112 154 176 212 224 308 352 371 424 583 616 742 743 848 1166 1232 1484 1486 1696 2332 2464 2968 2972 4081 4664 5201 5936 5944 8162 8173 9328 10402 11872 11888 16324 16346 18656 20804 23776 32648 32692 39379 41608 57211 65296 65384 78758 83216 114422 130592 130768 157516 166432 228844 261536 275653 315032 433169 457688 551306 630064 866338 915376 1102612 1260128 1732676 1830752 2205224 3032183 3465352 4410448 6064366 6930704 8820896 12128732 13861408 24257464 48514928 97029856