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82796544 = 213321123
BaseRepresentation
bin1001110111101…
…10000000000000
312202210111111200
410323312000000
5132143442134
612114341200
72023521225
oct473660000
9182714450
1082796544
11428112a6
122388a800
13141cc24c
14add394c
157407499
hex4ef6000

82796544 has 84 divisors (see below), whose sum is σ = 239388396. Its totient is φ = 27574272.

The previous prime is 82796533. The next prime is 82796551. The reversal of 82796544 is 44569728.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82796544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73167 + ... + 74289.

Almost surely, 282796544 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 82796544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119694198).

82796544 is an abundant number, since it is smaller than the sum of its proper divisors (156591852).

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

82796544 is a wasteful number, since it uses less digits than its factorization.

82796544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1128 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 82796544 is about 9099.2606293039. The cubic root of 82796544 is about 435.8503540529.

The spelling of 82796544 in words is "eighty-two million, seven hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1123 1152 1536 2048 2246 2304 3072 3369 4096 4492 4608 6144 6738 8192 8984 9216 10107 12288 13476 17968 18432 20214 24576 26952 35936 36864 40428 53904 71872 73728 80856 107808 143744 161712 215616 287488 323424 431232 574976 646848 862464 1149952 1293696 1724928 2299904 2587392 3449856 4599808 5174784 6899712 9199616 10349568 13799424 20699136 27598848 41398272 82796544