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29760228 = 2232826673
BaseRepresentation
bin111000110000…
…1101011100100
32001222222100200
41301201223210
530104311403
62541510500
7510646341
oct161415344
961888320
1029760228
1115887333
129b72430
13621cb04
143d497c8
15292cca3
hex1c61ae4

29760228 has 18 divisors (see below), whose sum is σ = 75227334. Its totient is φ = 9920064.

The previous prime is 29760197. The next prime is 29760233. The reversal of 29760228 is 82206792.

29760228 is a `hidden beast` number, since 29 + 7 + 602 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29680704 + 79524 = 5448^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×297602282 = 1771342341223968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 826673 = 29760228 / (2 + 9 + 7 + 6 + 0 + 2 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 29760192 and 29760201.

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, 413301 + ... + 413372.

Almost surely, 229760228 is an apocalyptic number.

It is an amenable number.

29760228 is an abundant number, since it is smaller than the sum of its proper divisors (45467106).

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

29760228 is a wasteful number, since it uses less digits than its factorization.

29760228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826683 (or 826678 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 29760228 is about 5455.2935759682. The cubic root of 29760228 is about 309.8932271898.

Subtracting 29760228 from its reverse (82206792), we obtain a square (52446564 = 72422).

The spelling of 29760228 in words is "twenty-nine million, seven hundred sixty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 826673 1653346 2480019 3306692 4960038 7440057 9920076 14880114 29760228