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82953675 = 32527311699
BaseRepresentation
bin1001111000111…
…00010111001011
312210002111001100
410330130113023
5132214004200
612121552443
72025044310
oct474342713
9183074040
1082953675
1142909362
1223945723
131425591c
14b034d07
157438d00
hex4f1c5cb

82953675 has 72 divisors (see below), whose sum is σ = 175385600. Its totient is φ = 36676800.

The previous prime is 82953653. The next prime is 82953683. The reversal of 82953675 is 57635928.

It is a happy number.

It is not a de Polignac number, because 82953675 - 29 = 82953163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82953675.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47976 + ... + 49674.

Almost surely, 282953675 is an apocalyptic number.

82953675 is an abundant number, since it is smaller than the sum of its proper divisors (92431925).

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

82953675 is a wasteful number, since it uses less digits than its factorization.

82953675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1745 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 82953675 is about 9107.8908096222. The cubic root of 82953675 is about 436.1258982579.

The spelling of 82953675 in words is "eighty-two million, nine hundred fifty-three thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 63 75 93 105 155 175 217 225 279 315 465 525 651 775 1085 1395 1575 1699 1953 2325 3255 5097 5425 6975 8495 9765 11893 15291 16275 25485 35679 42475 48825 52669 59465 76455 107037 127425 158007 178395 263345 297325 368683 382275 474021 535185 790035 891975 1106049 1316725 1843415 2370105 2675925 3318147 3950175 5530245 9217075 11850525 16590735 27651225 82953675