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53680308 = 22311537673
BaseRepresentation
bin1100110011000…
…1100010110100
310202000020112120
43030301202310
5102220232213
65154315540
71221163233
oct314614264
9122006476
1053680308
11283348a0
1215b88bb0
13b1765c6
1471b4b1a
154aa5423
hex33318b4

53680308 has 48 divisors (see below), whose sum is σ = 139237056. Its totient is φ = 15957760.

The previous prime is 53680307. The next prime is 53680327. The reversal of 53680308 is 80308635.

It is a super-3 number, since 3×536803083 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53680307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3160 + ... + 10832.

It is an arithmetic number, because the mean of its divisors is an integer number (2900772).

Almost surely, 253680308 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 53680308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69618528).

53680308 is an abundant number, since it is smaller than the sum of its proper divisors (85556748).

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

53680308 is a wasteful number, since it uses less digits than its factorization.

53680308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7744 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 53680308 is about 7326.6846526925. The cubic root of 53680308 is about 377.2289368811.

Adding to 53680308 its sum of digits (33), we get a triangular number (53680341 = T10361).

It can be divided in two parts, 53 and 680308, that added together give a triangular number (680361 = T1166).

The spelling of 53680308 in words is "fifty-three million, six hundred eighty thousand, three hundred eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 7673 15346 23019 30692 46038 84403 92076 168806 253209 337612 406669 506418 813338 1012836 1220007 1626676 2440014 4473359 4880028 8946718 13420077 17893436 26840154 53680308