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102256476 = 223731107367
BaseRepresentation
bin1100001100001…
…00111101011100
321010102011111220
412012010331130
5202134201401
614051413340
72351110560
oct606047534
9233364456
10102256476
11527a2893
122a2b4250
13182538ba
14d81b6a0
158e9d336
hex6184f5c

102256476 has 96 divisors (see below), whose sum is σ = 284884992. Its totient is φ = 27933120.

The previous prime is 102256457. The next prime is 102256519. The reversal of 102256476 is 674652201.

It is a super-3 number, since 3×1022564763 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278445 + ... + 278811.

It is an arithmetic number, because the mean of its divisors is an integer number (2967552).

Almost surely, 2102256476 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 102256476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142442496).

102256476 is an abundant number, since it is smaller than the sum of its proper divisors (182628516).

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

102256476 is a wasteful number, since it uses less digits than its factorization.

102256476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 102256476 is about 10112.1944205993. The cubic root of 102256476 is about 467.6241594978.

The spelling of 102256476 in words is "one hundred two million, two hundred fifty-six thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 107 124 186 214 217 321 367 372 428 434 642 651 734 749 868 1101 1284 1302 1468 1498 2202 2247 2569 2604 2996 3317 4404 4494 5138 6634 7707 8988 9951 10276 11377 13268 15414 19902 22754 23219 30828 34131 39269 39804 45508 46438 68262 69657 78538 79639 92876 117807 136524 139314 157076 159278 235614 238917 274883 278628 318556 471228 477834 549766 824649 955668 1099532 1217339 1649298 2434678 3298596 3652017 4869356 7304034 8521373 14608068 17042746 25564119 34085492 51128238 102256476