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102387648 = 2631148479
BaseRepresentation
bin1100001101001…
…00111111000000
321010122211110010
412012210333000
5202202401043
614054304520
72352165156
oct606447700
9233584403
10102387648
11528823a0
122a358140
131829b50c
14d8533d6
158ec7133
hex61a4fc0

102387648 has 56 divisors (see below), whose sum is σ = 295534080. Its totient is φ = 31025920.

The previous prime is 102387643. The next prime is 102387653. The reversal of 102387648 is 846783201.

It is an interprime number because it is at equal distance from previous prime (102387643) and next prime (102387653).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102387641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22128 + ... + 26351.

Almost surely, 2102387648 is an apocalyptic number.

It is an amenable number.

102387648 is an abundant number, since it is smaller than the sum of its proper divisors (193146432).

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

102387648 is a wasteful number, since it uses less digits than its factorization.

102387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48505 (or 48495 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 102387648 is about 10118.6781745443. The cubic root of 102387648 is about 467.8240261769.

The spelling of 102387648 in words is "one hundred two million, three hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 48479 96958 145437 193916 290874 387832 533269 581748 775664 1066538 1163496 1551328 1599807 2133076 2326992 3102656 3199614 4266152 4653984 6399228 8532304 9307968 12798456 17064608 25596912 34129216 51193824 102387648