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10472952 = 23371719193
BaseRepresentation
bin100111111100…
…110111111000
3201201002012010
4213330313320
510140113302
61012245520
7155006250
oct47746770
921632163
1010472952
115a03536
1236108a0
132228c19
141568960
15dbd16c
hex9fcdf8

10472952 has 128 divisors (see below), whose sum is σ = 33523200. Its totient is φ = 2654208.

The previous prime is 10472929. The next prime is 10472983. The reversal of 10472952 is 25927401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54168 + ... + 54360.

It is an arithmetic number, because the mean of its divisors is an integer number (261900).

Almost surely, 210472952 is an apocalyptic number.

10472952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10472952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761600).

10472952 is an abundant number, since it is smaller than the sum of its proper divisors (23050248).

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

10472952 is a wasteful number, since it uses less digits than its factorization.

10472952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10472952 is about 3236.1940609302. The cubic root of 10472952 is about 218.7877679550.

The spelling of 10472952 in words is "ten million, four hundred seventy-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 193 204 228 238 266 323 357 386 399 408 456 476 532 579 646 714 772 798 952 969 1064 1158 1292 1351 1428 1544 1596 1938 2261 2316 2584 2702 2856 3192 3281 3667 3876 4053 4522 4632 5404 6562 6783 7334 7752 8106 9044 9843 10808 11001 13124 13566 14668 16212 18088 19686 22002 22967 25669 26248 27132 29336 32424 39372 44004 45934 51338 54264 62339 68901 77007 78744 88008 91868 102676 124678 137802 154014 183736 187017 205352 249356 275604 308028 374034 436373 498712 551208 616056 748068 872746 1309119 1496136 1745492 2618238 3490984 5236476 10472952