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100448397 = 3372332281
BaseRepresentation
bin1011111110010…
…11100010001101
321000000022022000
411333023202031
5201203322042
613544542513
72326540320
oct577134215
9230008260
10100448397
1151778405
1229781a39
1317a6c92a
14d4aa7b7
158c4274c
hex5fcb88d

100448397 has 32 divisors (see below), whose sum is σ = 170876160. Its totient is φ = 57127680.

The previous prime is 100448389. The next prime is 100448417. The reversal of 100448397 is 793844001.

It is a happy number.

It is not a de Polignac number, because 100448397 - 23 = 100448389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100448347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42897 + ... + 45177.

It is an arithmetic number, because the mean of its divisors is an integer number (5339880).

Almost surely, 2100448397 is an apocalyptic number.

It is an amenable number.

100448397 is a deficient number, since it is larger than the sum of its proper divisors (70427763).

100448397 is a wasteful number, since it uses less digits than its factorization.

100448397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 100448397 is about 10022.3947737055. The cubic root of 100448397 is about 464.8516071758.

The spelling of 100448397 in words is "one hundred million, four hundred forty-eight thousand, three hundred ninety-seven".

Divisors: 1 3 7 9 21 27 63 189 233 699 1631 2097 2281 4893 6291 6843 14679 15967 20529 44037 47901 61587 143703 431109 531473 1594419 3720311 4783257 11160933 14349771 33482799 100448397